ho-bib-v1b.tex page 1 of 30chai/hobook/older_files/ho-bib-v1b.pdf · c.-l.~chai,...

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File: /home/chai/Mypapers/HObook/current/HO-bib-v1b.tex Page 1 of 30 \begin{thebibliography}{99} \bibitem{Albert2} A.~Albert, \emph{A solution of the principal problem in the theory of Riemann matrices}. Ann. Math. \textbf{35} (1934), 500--515. \bibitem{Albert1} A. A. Albert, \emph{On the construction of Riemann matrices, I, II}. Ann. Math. \textbf{35} (1934), 1--28; \textbf{36} (1935), 376--394. \bibitem{Albert3} A.~Albert, \emph{Involutorial simple algebras and real Riemann matrices}. Ann. Math. \textbf{36} (1935), 886--964. \bibitem{Andreatta.Goren-HilbModForms} F.~Andreatta \& E.~Goren, \emph{Hilbert modular forms: mod {$p$} and {$p$}-adic aspects}. Mem. Amer. Math. Soc., % FJOURNAL = {Memoirs of the American Mathematical Society}, \textbf {173} (2005). \bibitem{Andreatta.Goren-HMVlowdim} F.~Andreatta \& E.~Goren, \emph{Hilbert modular varieties of low dimension}. In \emph{Geometric aspects of {D}work theory. {V}ol. {I}, {II}}, Walter de Gruyter, 2004; pp. 113--175. \bibitem{Andreatta.Goren-HMVtotram} F.~Andreatta \& E.~Goren, \emph{Geometry of Hilbert modular varieties over totally ramified primes}. International Mathematics Research Notices, \textbf {33} (2003), 1786--1835. \bibitem{Artin-Tate} E.~Artin \& J.~Tate, \emph{Class field theory}. AMS Chelsea Publishing, Providence, 2009. \bibitem{Bain-Moll} M.~Bainbridge, M.~M\"oller, \emph{The locus of real multiplication and the Schottky locus}. Preprint, \url {arXiv.org/abs/1107.3832v2}. XX?published? \bibitem{B-B-M} P.~Berthelot, L.~Breen \& W.~Messing, \emph{Th\'eorie de Dieudonn\'e cristalline II}. Lect. Notes Math. 930, Springer-Verlag 1982. \bibitem{B-O} P.~Berthelot \& A.~Ogus, \emph{$F$\!-isocrystals and de Rham cohomology I}.

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Page 1: HO-bib-v1b.tex Page 1 of 30chai/HObook/older_files/HO-bib-v1b.pdf · C.-L.~Chai, \emph{Compactification of Siegel moduli schemes}. London Math. Soc. Lecture Note Series 107, 1985

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\begin{thebibliography}{99} \bibitem{Albert2}A.~Albert, \emph{A solution of the principal problem in the theory of Riemann matrices}. Ann. Math. \textbf{35} (1934), 500--515. \bibitem{Albert1}A. A. Albert, \emph{On the construction of Riemann matrices, I, II}. Ann. Math. \textbf{35} (1934), 1--28; \textbf{36} (1935), 376--394. \bibitem{Albert3}A.~Albert, \emph{Involutorial simple algebras and real Riemann matrices}. Ann. Math. \textbf{36} (1935), 886--964. \bibitem{Andreatta.Goren-HilbModForms}F.~Andreatta \& E.~Goren, \emph{Hilbert modular forms: mod {$p$} and {$p$}-adic aspects}. Mem. Amer. Math. Soc., % FJOURNAL = {Memoirs of the American Mathematical Society}, \textbf {173} (2005). \bibitem{Andreatta.Goren-HMVlowdim}F.~Andreatta \& E.~Goren, \emph{Hilbert modular varieties of low dimension}.In \emph{Geometric aspects of {D}work theory. {V}ol. {I}, {II}}, Walter de Gruyter, 2004; pp. 113--175. \bibitem{Andreatta.Goren-HMVtotram}F.~Andreatta \& E.~Goren,\emph{Geometry of Hilbert modular varieties over totally ramified primes}. International Mathematics Research Notices, \textbf {33} (2003), 1786--1835. \bibitem{Artin-Tate}E.~Artin \& J.~Tate, \emph{Class field theory}.AMS Chelsea Publishing, Providence, 2009. \bibitem{Bain-Moll}M.~Bainbridge, M.~M\"oller, \emph{The locus of real multiplication and the Schottky locus}. Preprint, \url{arXiv.org/abs/1107.3832v2}.XX?published? \bibitem{B-B-M}P.~Berthelot, L.~Breen \& W.~Messing, \emph{Th\'eorie de Dieudonn\'e cristalline II}. Lect. Notes Math. 930, Springer-Verlag 1982. \bibitem{B-O}P.~Berthelot \& A.~Ogus, \emph{$F$\!-isocrystals and de Rham cohomology I}.

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Invent. Math. \textbf{72} (1983), 159--199. \bibitem{Blum-1903} O.~Blumenthal, \emph{\"{U}ber Modulfunktionen von mehreren Ver\"anderlichen}. Math. Ann. \textbf{56} (1903), 509--548. XX?two papers with the same title?? \bibitem{Blum-1904} O.~Blumenthal, \emph{\"{U}ber Modulfunktionen von mehreren Ver\"anderlichen}. Math. Ann. \textbf{58} (1904), 497--527. XX?two papers with the same title?? \bibitem{B-S}A.~Borevich \& I. ~Shafarevich, \emph{Number theory}. Academic Press, New York, 1966. \bibitem{B-G-R}S.~Bosch, U.~G\"{u}ntzer \& R.~Remmert, \emph{Non-archimedean analysis}. Grundl. 261, Springer-Verlag, New York, 1983. \bibitem{B-L-R}S.~Bosch \& W.~L\"{u}tkebohmert \& M.~Raynaud, \emph{N\'eron models}. Ergebnisse der Mathematik 21, Springer-Verlag, New York, 1990. \bibitem{Bourbaki:Alg8}N.~Bourbaki, \emph{Alg\`ebre, Chapitre 8, Modules et anneaux semi-simples}.Actualit\'es Scientifiques et Industrielles 1261, Hermann, Paris, 1958. \bibitem{Breen:Rapport}L.~Breen, \emph{Rapport sur la th\'eorie de Dieudonn\'e}.Ast\'erisque \textbf{63} (1979), 39--66. \bibitem{Breuil2000}C.~Breuil, \emph{Groupes $p$-divisibles, groupes finis et modules filtr\'es}. Ann. Math. \textbf{152} (2000), 489--549. \bibitem{Cartier1}P.~Cartier, \emph{Dualit\'e des vari\'et\'es ab\'eliennes}. S\'eminaire Bourbaki, ann\'ee 1957--58, Expos\'e 164. \bibitem{Cartier2}P.~Cartier, \emph{Isogenies and duality of abelian varieties}. Ann. Math. \textbf{71} (1960), 315--351. \bibitem{Cartier:GrForm}P.~Cartier, \emph{Groupes formels associ\'es aux anneaux de Witt g\'eneralis\'es}. Compt. Rend. Acad. Sc. Paris \textbf{265} (1967), 50--52. \bibitem{Cartier:ModuleAss}P.~Cartier, \emph{Modules associ\'es \`a un groupe formel commutatif. Courbes typiques}.C. R. Acad. Sci. \textbf{265} (1967), 129--132. \bibitem{Cassels:GlobFields}J.~Cassels, \emph{Global fields}.In \emph {Algebraic number theory} (J.~Cassels \& A.~Fr\"{o}hlich, ed.).Academic Press, New York, 1967.

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\bibitem{Chai:PhDThesis}C.-L.~Chai, \emph{Compactification of Siegel moduli schemes}.London Math. Soc. Lecture Note Series 107, 1985. \bibitem{Chai:Density} C.-L.~Chai, \emph{Every ordinary symplectic isogeny class in positive characteristic is dense in the moduli space}. Invent. Math. \textbf{121} (1995), 439--479. \bibitem{Chai:Mon}C.-L.~Chai, \emph{Monodromy of Hecke-invariant subvarieties}. Pure Appl. Math. Quarterly \textbf{1} (2005) (Special issue: in memory of Armand Borel), 291 -- 303. \bibitem{Chai:HOsurvey}C.-L.~Chai, \emph{Hecke orbits on Siegel modular varieties}.%\newblock Progress in Mathematics \textbf{235}, Birkh\"auser, 2004, pp.\ 71--107.%{Chai-HOsurvey} \bibitem{Chai:CanCoord}C.-L.~Chai, \emph{Canonical coordinates on leaves of $p$-divisible groups: the two-slope case}. Manuscript 10-I-2005. %[Submitted for publication.]XXX,add reference \item %{chai:local_rigidity}C.-L. Chai.\emph{A rigidigy result for \(p\)-divisible formal groups}.Asian J. Math. \textbf{12} (2008), 193--202. \bibitem{Chai:padicmono}C.-L.~Chai, \emph{Methods for \(p\)-adic monodromy}. Journ. Inst. Math. Jussieu \textbf{7} (2008), 247--268. \bibitem{Chai-BC-FO:CMbk}C.-L.~Chai, B.~Conrad \& F.~Oort, \emph{CM liftings}.$[$To appear$]$ \bibitem{Chai-Norman1}C.-L.~Chai \& P.~Norman,\emph{Bad reduction of the Siegel moduli scheme of genus two with\(\Gamma_0(p)\)-level structure}.Amer. Journ. Math. \textbf{112} (1990), 1003--1071. \bibitem{Chai-FO:Hypersym}C.-L.~Chai and F.~Oort, \emph{Hypersymmetric abelian varieties}. Quaterly Journ. Pure Applied Math. \textbf{2} (CoatesSpecial Issue) (2006), 1Ð27. \bibitem{Chai-FO:Moduli:Goe08}C.-L.~Chai \& F.~Oort, \emph{Moduli of abelian varieties and \(p\)-divisible groups}.In \emph{Arithmetic algebraic geometry},

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(H.~Darmon, D.~A.~Ellwood, B.~Hassett \& Y.~Tschinkel, ed.), Clay Mathematics Proceedings \textbf{8},2009, 441--536. \bibitem{Chai.FO:Mon}C.-L.~Chai \& F.~Oort, \emph{Monodromy and irreducibility of leaves}. Ann. of Math. \textbf{173} (2011), 1359 -- 1396. \bibitem{Chai.FO:AVIsogJ}C.-L.~Chai, F.~Oort, \emph{Abelian varieties isogenous to a Jacobian}. $[$To appear$]$%Preprint, available at \url{http://www.math.upenn.edu/~chai/papers.html}. \bibitem{Chev}C.~Chevalley,\emph{Deux th\'eor\`emes d'arithm\'etique}.Journ. Math. Soc. Japan \textbf{3} (1951), 36--44. \bibitem{Coleman}R.~Coleman, \emph{Torsion points on curves}. In \emph{Galois representations and arithmetic algebraic geometry}(Y.~Ihara, ed.). Adv. Studies Pure Math. 12, North-Holland 1987; pp. 235--247. \bibitem{Colmez-Fontaine}P.~Colmez \& J-M.~Fontaine, \emph{Construction des repr\'esentations $p$-adiques semi-stables}.Invent. Math. \textbf{140} (2000), 1--43. \bibitem{Conrad:GZ} B.~Conrad, \emph{Gross-Zagier revisited}.\emph{Heegner points and Rankin $L$-series}, MSRI Publ. 49, Cambridge Univ. Press, Cambridge, 2004. \bibitem{Conrad:Weil}B.~Conrad, \emph{Chow's $K/k$-image and $K/k$-trace, and the Lang--N\'eron theorem}. Enseign. Math ({2}) \textbf{52} (2006), 37--108. \bibitem{conrad:GZ}B.~Conrad, \emph{Gross-Zagier rivisited}. In \emph{Heegner points and Rankin $L$-series}. MSRI Publ. 49, Cambridge Univ. Press, Cambridge, 2004. %\bibitem{conrad:cm}%B. Conrad, % \emph{Main Theorem of complex multiplication}.% In ``Notes on complex multiplication'', available at %{\tt www.math.stanford.edu/$\sim$conrad/}. \bibitem{predbook}B.~Conrad, O.~Gabber \& G.~Prasad,\emph{Pseudo-reductive groups}.New Mathematical Monographs 17, Cambridge Univ. Press, 2010. \bibitem{Conrad:gw}B.~Conrad, \emph{Lifting global representations with local properties}. 2011 preprint. \bibitem{Deligne:ThLefschetz}P.~Deligne, \emph{Th\'eor\`eme de {L}efschetz et crit\`eres de d\'eg\'en\'erescence de suites spectrales}. Inst. Hautes \'Etudes Sci. Publ. Math. \textbf{35}, (1968).

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\bibitem{Deligne:VarAbOrd}P.~Deligne, \emph{Vari\'et\'es ab\'eliennes ordinaires sur un corps fini}. Invent. Math., \textbf {8} (1969), 238--243. \bibitem{Deligne:TravShim-Bourbaki}P.~Deligne, \emph{Travaux de Shimura}. S\'eminaire Bourbaki, ann\'ee 1970--71, Expos\'e 389. In Lect. Notes Math. 244, Springer-Verlag, Berlin, 1971; pp. 123--165. \bibitem{Deligne:ThHodge-I} P.~Deligne, \emph{Th\'eorie de Hodge, I}. Actes du Congr\`es International des Math\'ematiciens ({N}ice, 1970), Tome 1, Gauthier-Villars, 1971; pp. 425--430. \bibitem{Deligne:ThHodge,II} P.~Deligne, \emph{Th\'eorie de Hodge, II}.Inst. Hautes \'Etudes Sci. Publ. Math. \textbf40 (1971), 5--57. \bibitem{Deligne:IntersCompl}P.~Deligne, \emph{Les intersections compl\`etes de niveau de Hodge un}. Invent. Math. \textbf{15} (1972), 237--250. \bibitem{Deligne:ConjWeilSurfaces} P.~Deligne, \emph{La conjecture de Weil pour les surfaces K3}.Invent. Math. \textbf{15} (1972), 206--226. \bibitem{Deligne:ConjWeil-I}P.~Deligne, \emph{La conjecture de Weil, {I}}. Inst. Hautes \'Etudes Sci. Publ. Math., \textbf{43}, (1974), 273--307. \bibitem{Deligne:ThHodgeIII}P.~Deligne, \emph{Th\'eorie de {H}odge, {III}}. Inst. Hautes \'Etudes Sci. Publ. Math., \textbf{44} (1974), 5--77. \bibitem{Deligne:CourbEll}P.~Deligne, \emph{Courbes elliptiques: formulaire d'apr\`es J.~Tate}.In \emph{Modular functions of one variable, {IV} ({P}roc. {I}nternat. {S}ummer {S}chool, {U}niv. {A}ntwerp, {A}ntwerp, 1972)}.

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Lect. Notes in Math. 476, Springer-Verlag 1975; pp. 53--73. \bibitem{Deligne:TranslWeilConj} P.~Deligne \emph{The {W}eil conjecture, {I}}. Translated from the French (Inst. Hautes {\'E}tudes Sci. Publ. Math. \textbf{43} (1974), 273--307) by Ju.~I.~Manin. Uspehi Mat. Nauk, \textbf{30} (1975), 159--196. XXXDelete thuis?keep this? \bibitem{Deligne:CorrFormMod}P.~Deligne, \emph{Correction to: ``{F}ormes modulaires et repr\'esentations de {${\rm GL}(2)$}'' (\emph{{M}odular functions of one variable, {II}}\ ({P}roc. {I}nternat. {S}ummer {S}chool, {U}niv. {A}ntwerp, {A}ntwerp, 1972)}, pp. 55--105, {L}ect. {N}otes in {M}ath., 349, {S}pringer-Verlag 1973), In \emph{Modular functions of one variable, {IV} ({P}roc. {I}nternat. {S}ummer {S}chool, {U}niv. {A}ntwerp, {A}ntwerp, 1972)}, Lect. Notes Math. 476, Springer-Verlag 1975; p. 148. \bibitem{Deligne:trigsum}P.~Deligne, \emph{Application de la formule des traces aux sommes trigonom\'etriques}. In \emph{Cohomologie \'etales}. S\'eminaire de G\'eom\'etrie Alg\'ebrique du Bois-Marie SGA4\(\frac{1}{2}\),Lect. Notes Math. 569, Springer-Verlag 1977, 168--232.XX check etalesss \bibitem{Deligne:VarShimCorvallis}P.~Deligne, \emph{Vari\'et\'es de {S}himura: interpr\'etation modulaire, et techniques de construction de mod\`eles canoniques}. In \emph{Automorphic forms, representations and {$L$}-functions ({P}roc. {S}ympos. {P}ure {M}ath., {O}regon {S}tate {U}niv., {C}orvallis, {O}re., 1977), {P}art 2}. Proc. Sympos. Pure Math., XXXIII, Amer. Math. Soc., (1979), 247--289. \bibitem{Deligne:ValFoncL} P.~Deligne, \emph{Valeurs de fonctions {$L$} et p\'eriodes d'int\'egrales}.In \emph{Automorphic forms, representations and {$L$}-functions ({P}roc. {S}ympos. {P}ure {M}ath., {O}regon {S}tate {U}niv., {C}orvallis, {O}re., 1977), {P}art 2}. Proc. Sympos. Pure Math., XXXIII, Amer. Math. Soc. 1979; With an appendix by N.~Koblitz and A. ~Ogus; pp. 313--346. \bibitem{Deligne:CristOrd} P.~Deligne, \emph{Cristaux ordinaires et coordonn\'ees canoniques}.

Page 7: HO-bib-v1b.tex Page 1 of 30chai/HObook/older_files/HO-bib-v1b.pdf · C.-L.~Chai, \emph{Compactification of Siegel moduli schemes}. London Math. Soc. Lecture Note Series 107, 1985

File: /home/chai/Mypapers/HObook/current/HO-bib-v1b.tex Page 7 of 30

In \emph{Algebraic surfaces ({O}rsay, 1976--78)}. Lect. Notes Math. 868, Springer-Verlag 1981. With the collaboration of L.~Illusie, with an appendix by N.~Katz; pp. 80--137. \bibitem{Deligne:Relevement}P.~Deligne, \emph{Rel\`evement des surfaces {$K3$} en caract\'eristique nulle}. Prepared for publication by Luc Illusie.In \emph{Algebraic surfaces} ({O}rsay, 1976--78). Lect. Notes Math. 868, Springer-Verlag 1981, 58--79. \bibitem{Deligne:MotTaniyama}P.~Deligne, \emph{Motifs et groupes de Taniyama}. In \emph{Hodge cycles, motives, and Shimura varieties},Lect. Notes Math. 900, Springer-Verlag 1982, 261--279. \bibitem{Deligne:HConAV}P.~Deligne, \emph{Hodge cycles on abelian varieties.} (Notes by J.~Milne.) In \emph{Hodge cycles, motives, and Shimura varieties}.Lect. Notes Math.\ 900, Springer-Verlag 1982, 9--100. \bibitem{Deligne-Mostov}P. Deligne \& G. D. Mostov, \emph{Monodromy of hypergeometric functions and non-lattice integral monodromy.} Publ. Math IHES \textbf{63} (1986), 5--89. \bibitem{Deligne-Mumford}P.~Deligne \& D.~Mumford, \emph{The irreducibility of the space of curves of given genus.} Inst. Hautes \'Etudes Sci. Publ. Math. \textbf{36} (1969), 75--109. \bibitem{Deligne-Pappas}P.~Deligne \& G.~Pappas, \emph{Singularit\'es des espaces de modules de {H}ilbert, en les caract\'eristiques divisant le discriminant}, Compos. Math. \textbf{90} (1994), 59--79. \bibitem{Deligne-Rapoport:SchCourbMod}P.~Deligne \& M. Rapoport, \emph{Les sch\'emas de modules de courbes elliptiques}.In \emph{Modular functions of one variable, {II} ({P}roc. {I}nternat. {S}ummer {S}chool, {U}niv. {A}ntwerp, {A}ntwerp, 1972)}. Lect. Notes Math. 349, Springer-Verlag 1973, 143--316. \bibitem{Deligne.Rapoport:Corr}P.~Deligne \& M.~Rapoport, \emph{Correction to: ``{L}es sch\'emas de modules de courbes elliptiques''\ (\emph{{M}odular functions of one variable, {II}}\ ({P}roc. {I}nternat. {S}ummer {S}chool, {U}niv.

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File: /home/chai/Mypapers/HObook/current/HO-bib-v1b.tex Page 8 of 30

{A}ntwerp, {A}ntwerp, 1972)}, pp. 143--316, {L}ecture {N}otes in {M}ath., {V}ol. 349, {S}pringer, {B}erlin, 1973).In \emph{Modular functions of one variable, {IV} ({P}roc. {I}nternat. {S}ummer {S}chool, {U}niv. {A}ntwerp, {A}ntwerp, 1972)}.Lect. Notes Math. 476, Springer-Verlag 1975, p.\ 149. \bibitem{Deligne-Ribet}P.~Deligne \& K.~Ribet, \emph{Values of abelian {$L$}-functions at negative integers over totally real fields}. Invent. Math. \textbf{59} (1980), 227--286. \bibitem{Demazure:Lectp-div}M.~Demazure, \emph{Lectures on \(p\)-divisible groups}.Lect. Notes Math. 302, Springer-Verlag, 1972. \bibitem{Demazure-Gabriel}M.~Demazure \& P.~Gabriel, \emph{Groupes alg\'ebriques.} Tome I: \emph{G\'eom\'etrie alg\'ebrique, g\'en\'eralit\'es, groupes commutatifs.} Masson \& Cie, North-Holland Publishing Co., Amsterdam, 1970. \bibitem{Deuring-1940}M.~Deuring, \emph{Die Typen der Multiplikatorenringe elliptischer Funktionenk\"orper}. Abh. Math. Sem. Hamburg \textbf{14} (1941), 197--272. \bibitem{EGA}J.~Dieudonn\'e \& A.~Grothendieck, \emph{\'El\'ements de G\'eom\'etrie Alg\'ebrique}. III$^1$: \emph{\'Etude cohomologique des faisceaux coh\'erents.} Publ. Math. IHES \textbf{11}, 1961. \bibitem{Drinfeld}V.~Drinfeld, \emph{Coverings of $p$-adic symmetric domains.}$[$Funkcional. Anal. i Prilo\v zen. \textbf{10} (1976), 29--40.$]$ Functional Analysis and its Applications \textbf{10} (1976), 107-115. \bibitem{Dwork-Ogus}B.~Dwork, A.~Ogus, \emph{Canonical liftings of Jacobians}. Compos. Math. 58 (1986), 111--131. \bibitem{E.M.FO} S.~Edixhoven, B.~Moonen \& F.~Oort (Editors), \emph{Open problems in algebraic geometry.} Bull. Sci. Math. \textbf{125} (2001), 1 - 22.XXX \bibitem{Edix-Yaf}B.~Edixhoven \& A.~Yafaev, \emph{Subvarieties of Shimura varieties.}Ann. Math. \textbf{157} (2003), 621--645. \bibitem{Ekedahl:sscurves}T.~Ekedahl, \emph{On supersingular curves and abelian varieties.} Math. Scand. \textbf{60} (1987), 151--178.

Page 9: HO-bib-v1b.tex Page 1 of 30chai/HObook/older_files/HO-bib-v1b.pdf · C.-L.~Chai, \emph{Compactification of Siegel moduli schemes}. London Math. Soc. Lecture Note Series 107, 1985

File: /home/chai/Mypapers/HObook/current/HO-bib-v1b.tex Page 9 of 30

\bibitem{Ekedahl:effHilbert}T.~Ekedahl, \emph{An effective version of Hilbert's irreducibility theorem.} S\'eminaire de Th\'eorie des Nombres, Paris 1988--1989.Progress Math., \textbf{91}, Birkh\"auser, Boston, Boston, MA, 1990; pp.\ 241--249. %\bibitem{kirsten}%K. Eisentr\"{a}ger, %\emph{The Theorem of Honda and Tate}.% In ``Notes on complex multiplication'', available at%{\tt www.math.stanford.edu/$\sim$conrad/}. \bibitem{Ekedahl-Geer}T.~Ekedahl \& G. van~der Geer, \emph{Cycle classes of the E-O stratification on the moduli of abelian varieties.}In \emph{Algebra, Arithmetic and Geometry - Volume I: In Honor of Yu. I. Manin} (Manin Festschrift; Y. Tschinkel \& Yu. Zarhin, ed.). Progress in Mathematics 269, Birkh\"auser 2009; pp. 567--636. \bibitem{Faltings:KompaktBonn}G.~Faltings, \emph{Arithmetische Kompaktifizierung des Modulraums der Abelschen Variet\"aten.} Arbeitstagung Bonn 1984, Proceedings. Lect. Notes Math. 1111, Springer-Verlag 1984; pp.\ XXX \bibitem{Faltings1983}G.~Faltings, \emph 00

9F009F{Endlichkeitss\"atze f r abelsche Variet\"aten ber Zahlk\"orpern}. Invent. Math. \textbf{83}

(1983), 349--366. \bibitem{Faltings:Fin}G.~Faltings, \emph{Finiteness theorems for abelian varieties over number fields}. In \emph{Arithmetic Geometry} (G.~Cornell \& J.~Silverman, ed.). Springer-Verlag 1986, 9--27. XXXalso paper in Wust-Faltings \bibitem{Faltings-Chai}G.~Faltings \& C-L.~Chai,\emph{Degeneration of abelian varieties}.Ergebnisse der Mathematik 22, Springer-Verlag 1990. \bibitem{Farb-Masur}B.~Farb, H.~Masur, \emph{Superrigidity and mapping class groups.} Topology \textbf{37} (1998), 1169--1176. \bibitem{F-EM}L.~Fargues \& E.~Mantovan, \emph{Vari\'et\'es de Shimura, espaces de Rapoport-Zink et correspondances de Langlands locales.}Ast\'erisque \textbf{291} (2004). \bibitem{Fontaine:pdiv}J-M.~Fontaine, \emph{Groupes $p$-divisible sur les corps locaux}. Ast\'erisque \textbf{47--48} (1977). \bibitem{Fontaine:ModGal}J-M.~Fontaine, \emph{Module galoisiens, modules filtr\'es et anneaux de Barsotti-Tate}.

Page 10: HO-bib-v1b.tex Page 1 of 30chai/HObook/older_files/HO-bib-v1b.pdf · C.-L.~Chai, \emph{Compactification of Siegel moduli schemes}. London Math. Soc. Lecture Note Series 107, 1985

File: /home/chai/Mypapers/HObook/current/HO-bib-v1b.tex Page 10 of 30

Ast\'erisque \textbf{65} (1979), 3--80. \bibitem{Fontaine:BT}%= {fontaine82}J-M.~Fontaine, \emph{Sur certains types de repr\'esentations $p$-adiques du groupe de Galoisd'un corps local; construction d'un anneau de Barsotti-Tate}. Ann. Math. \textbf{115} (1982), 529--577. \bibitem{Fontaine:Rep}J-M.~Fontaine, \emph{Repr\'esentations \(p\)-adiques semi-stables.} Ast\'erisque \textbf{223} (1994), 113--184. \bibitem{Freitag}E.~Freitag, \emph{Siegelsche {M}odulfunktionen}. Grundlehren der Mathematischen Wissenschaften 254.Springer-Verlag 1983. \bibitem{Freitag:HilbModForms} E.~Freitag, \emph{Hilbert modular forms}. Springer-Verlag 1990. \bibitem{Rueck}A.~Garcia \& H.~Stichtenoth,\emph{On tame towers over finite fields}. With an appendix by H.-G.~R\"uck.Journ. Reine Angew. Math. \textbf{557} (2003), 53--80. \bibitem{Geer:HMS}Gerard van~der Geer, \emph{Hilbert modular surfaces}. Ergebnisse der Mathematik und ihrer Grenzgebiete 16, Springer-Verlag 1988. %\bibitem{Geer-Egloff}%G van der Geer, \emph{Cycles on the moduli space of abelian varieties.} Abelian varieties. Proceed. Internal. Conf. Egloffstein 1993 (Ed. W. Narth, K. Hulek, H. Lange). De Gruyter 1995; pp. 65 - 89. \bibitem{Geer:Cycles}G. van~der Geer, \emph{Cycles on the moduli space of abelian varieties}. In \emph{Moduli of curves and abelian varieties.}(C. Faber \& E. Looijenga, ed).Aspects Math. E33, Vieweg 1999; pp.\ 65--89. %{Geer-Cycles} \bibitem{Geer:Moduli}G. van~der Geer in HandbkModuli XXX \bibitem{Geer-Moonen}G. van~der Geer \& B.~Moonen, \emph{Abelian varieties}. $[$In preparation.$]$ %@article {MR0288141,\bibitem{Gerritzen} L.~Gerritzen, \emph{On multiplication algebras of {R}iemann matrices}. Math. Ann., \textbf{194} (1971), 109--122.

Page 11: HO-bib-v1b.tex Page 1 of 30chai/HObook/older_files/HO-bib-v1b.pdf · C.-L.~Chai, \emph{Compactification of Siegel moduli schemes}. London Math. Soc. Lecture Note Series 107, 1985

File: /home/chai/Mypapers/HObook/current/HO-bib-v1b.tex Page 11 of 30

\bibitem{Geyer}W.-D.~Geyer,\emph{Galois groups of intersections of local fields}.Israel Journ. Math. \textbf{30} (1978), 382--396. \bibitem{G,Montreal}A.~Grothendieck, \emph{Groupes de Barsotti-Tate et cristaux de Dieudonn\'e}. S\'em. Math. Sup. \textbf{45}, Presses de l'Univ. de Montreal 1970. \bibitem{Goren:ModForms}E.~Goren, \emph{Hilbert modular forms modulo {$p\sp m$}: the unramified case}. Journ. Number Theory \textbf(90) (2001), 341--375. XXcheck pp. \bibitem{Goren:HasseInv} E.~Goren, \emph{Hasse invariants for {H}ilbert modular varieties}. Israel Journ. Math. \textbf{122} (2001), 157--174. \bibitem{Goren:LectHMV}E.~Goren, \emph{Lectures on {H}ilbert modular varieties and modular forms}. With the assistance of M.-H.~Nicole. CRM Monograph Series 14, Amer. Math. Soc. 2002. \bibitem{Goren-FO} E.~Goren \& F.~Oort, \emph{Stratifications of {H}ilbert modular varieties}. Journ. Algebraic Geom. \textbf{9} (2000), 111--154. \bibitem{Harashita:firstslope}S.~Harashita, \emph{Ekedahl-Oort strata and the first Newton slope strata}.Journ. Algebraic Geom. \textbf{16} (2007), 171-199. \bibitem{Harashita:EO}S.~Harashita, \emph{Ekedahl-Oort strata contained in the supersingular locus and Deligne-Lusztig varieties.} Journ. Algebraic Geom. \textbf{19} (2010), 419-438. \bibitem{Harashita:EO-NP}S.~Harashita, \emph{Ekedahl-Oort strata and the first Newton polygon strata}. Manuscript 2005.XXXcheck appeared?? \bibitem{Harashita:Config}S.~Harashita, \emph{Configuration of the central streams in the moduli of abelian varieties}. The Asian Journ. Math. \textbf{13} (2009), no. 2, 215-250. \bibitem{Harashita:OConj}

Page 12: HO-bib-v1b.tex Page 1 of 30chai/HObook/older_files/HO-bib-v1b.pdf · C.-L.~Chai, \emph{Compactification of Siegel moduli schemes}. London Math. Soc. Lecture Note Series 107, 1985

File: /home/chai/Mypapers/HObook/current/HO-bib-v1b.tex Page 12 of 30

S.~Harashita, \emph{Generic Newton polygons of Ekedahl-Oort strata: Oort's conjecture}. Annales de l'Inst. Fourier, \textbf{60} (2010), 1787-1830. \bibitem{HAG}R.~HartshorneXXX \bibitem{Hash-Ib}K.~Hashimoto \& T.~Ibukiyama, \emph{On the class numbers of positive definite binary quaternion hermitian forms (I)}. Journ. Fac. Sci. Univ. Tokyo IA \textbf{27} (1980), 549 -- 601; (II) ibid. \textbf{28} (1981), 695 -- 699. \bibitem{Hazewinkel}M.~Hazewinkel, \emph{Formal groups and applications}. Academic Press, New York, 1978. \bibitem{Hida}H.~Hida, \emph{{$p$}-adic automorphic forms on {S}himura varieties}. Springer Monographs in Mathematics, Springer-Verlag 2004. \bibitem{Honda}T.~Honda, \emph{Isogeny classes of abelian varieties over finite fields}. Journ. Math. Soc. Japan \textbf{20} (1968), 83--95. \bibitem{IKO}T.~Ibukiyama, T.~Katsura \& F.~Oort, \emph{Supersingular curves of genus two and class numbers.} Compos. Math. \textbf{57} (1986), 127--152. \bibitem{Igusa}J.-I.~Igusa, \emph{Class number of a definite quaternion with prime discriminant}. Proc. Nat. Acad. Sci. USA \textbf{44} (1985), 312--314. \bibitem{illusie:DefBT}L.~Illusie,\emph{D\'eformation des groupes de Barsotti-Tate}.Ast\'erisque \textbf{127} (1985), 151--198.XXX D\'eformations?? \bibitem{ivic}A.~Ivi\'c,\emph{The Riemann zeta-function: the theory of the Riemann zeta-function withapplications}. John Wiley \& Sons, 1985. \bibitem{ba2}N.~Jacobson, \emph{Basic algebra II}. W.H. Freeman \& Co. 1989. \bibitem{AJdJ:Cryst}A. de~Jong, \emph{Crystalline Dieudonn\'e module theory via formal and rigid geometry}. Publ. Math. IHES \textbf{82} (1995) 5--96. \bibitem{AJdJ:Homom}A. de~Jong,

Page 13: HO-bib-v1b.tex Page 1 of 30chai/HObook/older_files/HO-bib-v1b.pdf · C.-L.~Chai, \emph{Compactification of Siegel moduli schemes}. London Math. Soc. Lecture Note Series 107, 1985

File: /home/chai/Mypapers/HObook/current/HO-bib-v1b.tex Page 13 of 30

\newblock \emph{Homomorphisms of {B}arsotti-{T}ate groups and crystalsin positive characteristic}.\newblock Invent. Math. \textbf{134} (1998), 301--333. \bibitem{AJdJ-Noot}A. de~Jong \& R.~Noot, \emph\emph{Jacobians with complex multiplication.}In Arithmetic Algebraic Geometry (G. van~der Geer, F.~Oort \&J. Steenbrink, ed.). Progress Math. \textbf{89}, Birh\"auser 1991, 177--192. \bibitem{AJdJ-FO}A. de~Jong \& F.~Oort,\emph{Purity of the stratification by Newton polygons.} Journ. A.M.S. \textbf{13} (2000), 209--241. \bibitem{AJdJ-Zhang}A. de~Jong \& S.~Zhang, \emph{Generic abelian varietieswith real multiplication are not Jacobians}.In \emph{Diophantine Geometry, Proceedings} (Umberto Zannier, ed.). CRM Series 4, Scuola Normale Pisa, 2007. \bibitem{KO-2}T.~Katsura \& F.~Oort, \emph{Families of supersingular abelian surfaces.} Compos. Math. \textbf{62} (1987), 107 - 167. %{KOII} \bibitem{KO-3} T.~Katsura \& F.~Oort, \emph{Supersingular abelian varieties of dimension two or three and class numbers.} In \emph{Algebraic geometry, Sendai 1985} (T. Oda, ed.). Adv. Stud. in Pure Math. \textbf{10} (1987), Kinokuniya Cy Tokyo and North-Holland Cy Amsterdam 1987 ; pp. 253--281. %\bibitem{katz:slope}%N. M. Katz,%\emph{Slope filtration of F-crystals}.%Ast\'erisque \emph{63} (1979), 113--164. \bibitem{Katz:DiffEquat}N.~Katz, \emph{On the differential equations satisfied by period matrices}. Inst. Hautes \'Etudes Sci. Publ. Math. \textbf{35}, (1968), 223--258. \bibitem{Katz:NilpotConnect}N.~Katz, \emph{Nilpotent connections and the monodromy theorem: {A}pplications of a result of {T}urrittin}. Inst. Hautes \'Etudes Sci. Publ. Math.\textbf{39} (1970), 175--232. \bibitem{Katz:padicProp}N.~Katz,

Page 14: HO-bib-v1b.tex Page 1 of 30chai/HObook/older_files/HO-bib-v1b.pdf · C.-L.~Chai, \emph{Compactification of Siegel moduli schemes}. London Math. Soc. Lecture Note Series 107, 1985

File: /home/chai/Mypapers/HObook/current/HO-bib-v1b.tex Page 14 of 30

\emph{{$p$}-adic properties of modular schemes and modular forms}.In \emph{Modular functions of one variable, {III} ({P}roc. {I}nternat. {S}ummer {S}chool, {U}niv. {A}ntwerp, {A}ntwerp, 1972)}. Lect. Notes Math. 350, Springer-Verlag 1973, 69--190. \bibitem{Katz:ModFormsp>0}N.~Katz, \emph{A result on modular forms in characteristic {$p$}}.In \emph{Modular functions of one variable, {V} ({P}roc. {S}econd {I}nternat. {C}onf., {U}niv. {B}onn, {B}onn, 1976)}.Lect. Notes Math. 601, Springer-Verlag 1977, 53--61. \bibitem{Katz:FormGroups} N.~Katz, \emph{Formal groups and {$p$}-adic interpolation}. In \emph{Journ\'ees {A}rithm\'etiques de {C}aen ({U}niv. {C}aen, {C}aen, 1976)}. Ast\'erisque \textbf{41--42} (1977), 55--65. \bibitem{Katz:padicL} N.~Katz, \emph{{$p$}-adic {$L$}-functions for {CM} fields}, Invent. Math. \textbf{49} (1978), 199--297. \bibitem{Katz:SlopeFiltr} N.~Katz, \emph{Slope filtration of$F$-crystals.} In \emph{Journ\'ees de G\'eom\'etrie Alg\'ebrique de Rennes (Rennes, 1978), Vol. I}. Ast\'erisque \textbf{63} (1979), 113 - 164. \bibitem{Katz:STthm}N.~Katz, \emph{Appendix to Expose V}.In \emph{Surfaces alg\'ebriques} (J.~Giraud, L.~Illusie \& M.~Raynaud, ed.). Lect. Notes Math. 868, Springer-Verlag 1981; pp. \ 127--137. %\bibitem{katz}%N.~Katz, \bibitem{Katz:STlocMod}N.~Katz, \emph{Serre-Tate local moduli}. Lect. Notes Math. 868, Springer-Verlag 1981; pp. \ 138--202. \bibitem{Katz-Messing}N.~Katz \& W.~Messing, \emph{Some consequences of the {R}iemann hypothesis for varieties over finite fields}. Invent. Math. \textbf{23} (1974), 73--77. \bibitem{Katz-Oda}

Page 15: HO-bib-v1b.tex Page 1 of 30chai/HObook/older_files/HO-bib-v1b.pdf · C.-L.~Chai, \emph{Compactification of Siegel moduli schemes}. London Math. Soc. Lecture Note Series 107, 1985

File: /home/chai/Mypapers/HObook/current/HO-bib-v1b.tex Page 15 of 30

N.~Katz \& Oda, \emph{On the differentiation of de {R}ham cohomology classes with respect to parameters}.Journ. Math. Kyoto Univ., \textbf{8} (1968), 199--213. \bibitem{Keel-S}S.~Keel \& L.~Sadun, \emph{Oort's conjecture for ${\mathcal A}_g\otimes \CC$.} Journ. Amer. Math. Soc. \textbf{16} (2003), 887--900. \bibitem{KisIn:crys_repr2006}M.~Kisin, \emph{Crystalline representations and $F$-crystals}. In \emph{Algebraic geometry and number theory}, Progress Math., 253, Birkh\"auser 2006, 459--496. \bibitem{KisIn:2adic}M.~Kisin, \emph{Modularity of \(2\)-adic Barsotti-Tate representations}.Invent. Math. \textbf{178} (2009), 587--634. \bibitem{Klingler-Yaf}B.~Klingler \& A.~Yafaev, \emph{The Andr\'e-Oort conjecture}.$[$In preparation$]$ \bibitem{Koblitz}N.~Koblitz, \emph{$p$-adic variation of the zeta-function over families of varieties over finite fields}. Compos. Math. \textbf{31} (1975), 119--218. \bibitem{kottwitz:points92}R.~Kottwitz,\emph{Points on some Shimura varieties over finite fields},Journ.\ Amer. Math. Soc. \textbf{2} (1992), 373--444. \bibitem{K} H.-P.~Kraft, \emph{Kommutative algebraische p-Gruppen (mit Anwendungen auf p-divisible Gruppen und abelsche Variet\"aten). }Sonderforsch. Bereich Bonn, September 1975. Manuscript, 86 pp. \bibitem{Kresch}A.~Kresch, \emph{Hodge-theoretic obstruction to the existence of quaternion algebras}.Bull. London Math. Soc. \textbf{35} (2003), 109--116. \bibitem{LMO}J.~Lagarias, H.~Montgomery \& A.~Odlyzko,\emph{A bound for the least prime ideal in the Chebotarev densitytheorem}. Invent. Math. \textbf{54} (1979), 271--296. \bibitem{Lagarias-Odlyzko}J.~Lagarias \& A.~Odlyzko,\emph{Effective versions of the Chebotarev density theorem}.In \emph{Algebraic number fields} (A. Fr\"ohlich, ed.), Academic Press 1977, 409--464.

Page 16: HO-bib-v1b.tex Page 1 of 30chai/HObook/older_files/HO-bib-v1b.pdf · C.-L.~Chai, \emph{Compactification of Siegel moduli schemes}. London Math. Soc. Lecture Note Series 107, 1985

File: /home/chai/Mypapers/HObook/current/HO-bib-v1b.tex Page 16 of 30

\bibitem{Lang:AV}S.~Lang, \emph{Abelian varieties}. XXX \bibitem{Lang:CM}S.~Lang, \emph{Complex multiplication}. Grundlehren mathematischen Wissenschaften 255, Springer-Verlag 1983. \bibitem{Lang:EllF}S.~Lang, \emph{Elliptic functions} (2nd ed.). Graduate Texts in Math. 112, Springer-Verlag 1987. \bibitem{Lang:Alg}S.~Lang, \emph{Algebra} (revised 3rd ed.).Graduate Texts in Math. 211, Springer-Verlag 2002. \bibitem{L-B}H.~Lange \& Ch.~Birkenhake,\emph{Complex abelian varieties.} Grundlehren Math. Wissensch. 302, Springer--Verlag 1992. %\bibitem{langlands:corvalis}%Langlands, R.% Automorphic representations, Shimura varieties, %and motives. Ein M\"archen.% In Proc. Symp. Pure Math. 33, part 2,%A.M.S., 1979, 205--246. \bibitem{Lazard:443}M.~Lazard, \emph{Commutative formal groups}.Lect. Notes Math. 443, Springer-Verlag 1975. \bibitem{HWL-FO}H.~Lenstra Jr. \& F.~Oort, \emph{Simple abelian varieties having a prescribed formal isogeny type}. Journ. Pure Appl. Algebra \textbf{4} (1974), 47--53. \bibitem{Li.FO}K.-Z. ~Li \& F. ~Oort, \emph{Moduli of supersingular abelian varieties}. Lect. Notes Math. 1680, Springer-Verlag 1998. \bibitem{LST-WoodsHole}J.~Lubin, J-P.~Serre and J.~Tate, \emph{Elliptic curves and formal groups}. In \emph{Lecture notes prepared in connection with the seminars held at the Summer Institute on Algebraic Geometry}, Whitney Estate, Woods Hole, Massachusetts, July 6-July 31, 1964. Mimeographed notes.%\newline\url{http://www.ma.utexas.edu/users/voloch/lst.html}%{\tt http://www.ma.utexas.edu/users/voloch/lst.html} \bibitem{Maass} H.~Maass, \emph{\"{U}ber {G}ruppen von hyperabelschen {T}ransformationen}. S.-B. Heidelberger Akad. Wiss. \textbf{1940} (1940), 26. % Hans Maass, \emph{\"{U}ber {G}ruppen von hyperabelschen {T}ransformationen},

Page 17: HO-bib-v1b.tex Page 1 of 30chai/HObook/older_files/HO-bib-v1b.pdf · C.-L.~Chai, \emph{Compactification of Siegel moduli schemes}. London Math. Soc. Lecture Note Series 107, 1985

File: /home/chai/Mypapers/HObook/current/HO-bib-v1b.tex Page 17 of 30

% S.-B. Heidelberger Akad. Wiss. \textbf{1940} (1940), no.~2, 26. %AUTHOR = {Maass, Hans}, % TITLE = {\"{U}ber {G}ruppen von hyperabelschen {T}ransformationen}, %JOURNAL = {S.-B. Heidelberger Akad. Wiss.}, %VOLUME = {1940}, %YEAR = {1940}, \bibitem{Manin}Y.~Manin, \emph{The theory of commutative formal groups over fieldsof finite characteristic}.Usp. Math. \textbf{18} (1963), 3--90; Russ. Math. Surveys \textbf{18} (1963), 1--80. \bibitem{EM}E.~Mantovan, \emph{On certain unitary group Shimura varieties}. Harvard PhD-thesis, April 2002. See \cite{F.EM}. \bibitem{Matsumura:CA}H.~Matsumura,\emph{Commutative algebra},Benjamin, 1970; second edition, 1980. \bibitem{M:CRT}H.~Matsumura,\emph{Commutative ring theory}. Cambridge studies in advanced mathematics Vol. 8, Cambridge Univ. Press 1989. \bibitem{Mazur-Messing}B.~Mazur \& W.~Messing, \emph{Universal extensions and one-dimensional crystalline cohomology}. Lect. Notes Math. 370, Springer-Verlag 1974. \bibitem{Messing}W.~Messing, \emph{The Crystals associated to Barsotti-Tate Groups: withapplications to abelian schemes}. Lect. Notes Math. 264, Springer-Verlag 1972. %\bibitem{Mierendorff}%E. Mierendorff, \emph{Moduli spaces of $p$-divisible groups.}%Manuscript, math.AG/0502320, 27 pages,%Version 1: Tue, 15 Feb 2005.%Viehmann ?? \bibitem{Milne:AV}J.~Milne, \emph{Abelian varieties}. In \emph{Arithmetic geometry} (G.~Cornell \& J.~Silverman, ed.).Springer-Verlag 1986. XXpp numbers \bibitem{Milne:JacV}J.~Milne, \emph{Jacobian varieties}. Chapter VIIin \emph{Arithmetic Geometry} (G.~Cornell and J.~Silverman, ed.). Springer-Verlag 1986, pp. 167--212. \bibitem{Milne:CanModels}J.~Milne, \emph{Canonical models of (mixed) Shimura varieties andautomorphic vector bundles}. In \emph{Automorphic forms, Shimura varieties, and

Page 18: HO-bib-v1b.tex Page 1 of 30chai/HObook/older_files/HO-bib-v1b.pdf · C.-L.~Chai, \emph{Compactification of Siegel moduli schemes}. London Math. Soc. Lecture Note Series 107, 1985

File: /home/chai/Mypapers/HObook/current/HO-bib-v1b.tex Page 18 of 30

L-functions}, Vol.\ I. Perspectives in Math. Vol. 10, Academic Press 1990; pp.\ 283--414. \bibitem{Milne-Shih}J.~Milne \& K.-Y.~Shih, \emph{Langlands' construction of the Taniyama group}. In \emph{Hodge cycles, motives, and Shimura varieties}.Lect. Notes Math. 900, Springer-Verlag 1982, 229--260. \bibitem{Milne-Waterhouse}J.~Milne \& W.~Waterhouse, \emph{Abelian varieties over finite fields}. In \emph{1969 number theory institute}. (Sympos.Pure Math., Vol. XX, SUNY Stony Brook, NY, 1969), AMS, Providence, 1971, 53--64.XXXcheck Wat-Milne? or M-Wat? \bibitem{Moonen:PhD}B.~Moonen, \emph{Special points and linearity properties of Shimura varieties}. Ph.D. Thesis, University of Utrecht, 1995. \bibitem{Moonen:LinI}B.~Moonen, \emph{Linearity properties of Shimura varieties, I}. Journ. Algebraic Geom. \textbf{7} (1998), 539--567. \bibitem{Moonen:LinII}B.~Moonen, \emph{Linearity properties of Shimura varieties, II}. Compos. Math. \textbf{114} (1998), 3--35. \bibitem{Moonen:Durham}B.~Moonen, \emph{Models of Shimura varieties in mixed characteristics}. In \emph{Galois representations in arithmetic algebraic geometry} (A.~Scholl, R.~Taylor, ed.). London Math. Soc. Lecture Note Series 254, Cambridge Univ. Press 1998; pp.\ 267--350.XNote or NotesXX? \bibitem{Moonen:Texel}B.~Moonen, \emph{Group schemes with additional structures and Weyl group cosets}. In \emph{Moduli of abelian varieties} (C.~Faber, G. van~der Geer \& F.~Oort). Progress Math. 195, Birkh\"auser Verlag 2001; pp. 255--298. %{Moonen-Texel} \bibitem{Moonen:ST}B.~Moonen, \emph{Serre-Tate theory for moduli spaces of} PEL \emph{type}. Ann. Scient. Ec. Norm. Sup. 4$^e$ S\'erie \textbf{37} (2004), 223--269. %{Moonen-ST} \bibitem{Moonen:Dim}B.~Moonen, \emph{A dimension formula for Ekedahl-Oort strata}. Ann. de l'Inst. Fourier \textbf{54} (2004), 666--698. \bibitem{Moonen:CycCov}B.~Moonen, \emph{Special subvarieties arising from families of cyclic covers of the projective line}. Documenta Math. \textbf{15} (2010), 793--819.%\url{http://arxiv.org/abs/1006.3400}. \bibitem{Moonen-FO}B.~Moonen \& F.~Oort, \emph{The Torelli locus and special subvarieties}. $[$To appear in the Handbook of Moduli.$]$ \bibitem{MB:Polar}L.~Moret-Bailly, \emph{Polarisations de degr\'e $4$ sur les surfaces ab\'eliennes}. C. R. Acad. Sci. Paris \textbf{289}

Page 19: HO-bib-v1b.tex Page 1 of 30chai/HObook/older_files/HO-bib-v1b.pdf · C.-L.~Chai, \emph{Compactification of Siegel moduli schemes}. London Math. Soc. Lecture Note Series 107, 1985

File: /home/chai/Mypapers/HObook/current/HO-bib-v1b.tex Page 19 of 30

(1979), 787--790. \bibitem{MB:Fam} L.~Moret-Bailly, \emph 00

8E008E

008E{Familles de courbes et de vari t s ab liennes sur {$P^1$ 00

8E008E}}. deux expos s au S minaire sur les

008Epinceaux de courbes de genre au moins deux, Ast risque, vol. 86 (1981).

XX pp etc \bibitem{MB:Pinc}L.~Moret-Bailly, \emph{Pinceaux de vari\'et\'es ab\'eliennes}. Ast\'erisque \textbf{129}, 1985. \bibitem{MB:FamCourbLis}L.~Moret-Bailly, \emph{Un th\'eor\`eme de puret\'e pour les familles de courbes lisses}. C. R. Acad. Sci. Paris, \textbf{300} (1985), 489--492. \bibitem{Mostow1988}G.~Mostow, \emph{On discontinuous action of monodromy groups on the complex $n$-ball}. Journ. American Math. Soc. 1 (1988), 555--586. \bibitem{MAV} D.~Mumford, \emph{Abelian varieties}. Tata Inst. Fund Research Studies in Mathematics Vol. 5.First edition 1970; second edition TIFR and Oxford Univ. Press 1974; corrected reprint TIFR and Hindustan Book Agency 2008. \bibitem{Mumford:GIT}D.~Mumford, \emph{Geometric invariant theory}. First printing 1965, Ergebnisse Math. und ihre Grensgebiete, Springer-Verlag;3rd enlarged edition by D.~Mumford, J.~Fogarthy \& F.~Kirwan, Springer-Verlag 1994. \bibitem{Mumford:ShimPaper}D.~Mumford, \emph{A note of Shimura's paper ``Discontinuous groups and abelian varieties''}. Math. Ann. \textbf{181} (1969), 345--351. \bibitem{MumfordII}D.~Mumford, \emph{Selected papers.} Vol. II. \emph{On algebraic geometry, including correspondence with Grothendieck}. Editors: C.-L.~Chai, A.~Neeman, T.~Shiota. Springer-Verlag 2010. \bibitem{N-N}M.~Narasimhan \& M.~Nori, \emph{Polarisations on an abelian variety}. Proc. Indian Acad. Sci. Math. Sci. \textbf{90} (1981), 125 -- 128. \bibitem{Neukirch}J.~Neukirch,\emph{Algebraic number theory}.Grundlehren der math. Wissenschaften {322}, Springer, 1999. \bibitem{NV1}

Page 20: HO-bib-v1b.tex Page 1 of 30chai/HObook/older_files/HO-bib-v1b.pdf · C.-L.~Chai, \emph{Compactification of Siegel moduli schemes}. London Math. Soc. Lecture Note Series 107, 1985

File: /home/chai/Mypapers/HObook/current/HO-bib-v1b.tex Page 20 of 30

M.~Nicole \& A.~Vasiu, \emph{Minimal truncations of supersingular $p$-divisible groups}. Indiana Univ. Math. Journ. \textbf{56} (2007), 2887--2897. \bibitem{NV2} M.-H.~Nicole \& A.~Vasiu, \emph{Traverso's isogeny conjecture forp-divisible groups}. Rend. Semin. Mat. U. Padova \textbf{118} (2008),73 -- 83. \bibitem{NVW} M.-H.~Nicole, A.~Vasiu \& T.~Wedhorn, \emph{Purity of level $m$ stratifications}.Ann. Sci. Ec. Norm. Sup. \textbf{43} (2010), pp.925--955. \bibitem{Nishi}M.~Nishi, \emph{The Frobenius theorem and the duality theorem on an abelian variety}. Mem. Coll. Sc. Kyoto \textbf{32} (1959), 333--350. \bibitem{Noot:Models}R.~Noot, \emph{Models of Shimura varieties in mixed characteristic}.Journ. Algebraic Geom. \textbf{5} (1996), 187--207. \bibitem{Noot:ellGal}R.~Noot, \emph{Abelian varieties with $\ell$-adic Galois representation of Mumford's type}. Journ. reine angew. Math. \textbf{519} (2000), 155--169. \bibitem{Noot:MumfFam}R.~Noot, \emph{On Mumford's families of abelian varieties.} Journ. Pure Appl. Alg. \textbf{157} (2001), 87--106. \bibitem{Noot:Bourbaki}R.~Noot, \emph{Correspondances de Hecke, action de Galois et la conjecture de Andr\'e-Oort (d'apr\`es Edixhoven et Yafaev)}. S\'eminaire Bourbaki, ann\'ee 2004-2005, Expos\'e 942. Ast\'erisque 307 (2006), 165--197. \bibitem{Norman:Lift}P.~Norman, \emph{Lifting abelian varieties.} Invent. Math. \textbf{64} (1981), 431 - 443. \bibitem{Norman-FO}P.~Norman \& F.~Oort, \emph{Moduli of abelian varieties}. Ann. Math., \textbf{112} (1980), 413--439. \bibitem{Oda}T.~Oda\emph{The first de Rham cohomology group and Dieudonn\'e modules}.Ann.\,Sci.\, E.N.S. (4) \textbf{2} (1969), 63--135. \bibitem{Oda-FO}T.~Oda \& F.~Oort, \emph{Supersingular abelian varieties.} Itl. Sympos. Algebr. Geom. Kyoto 1977 (M. Nagata, ed.). Kinokuniya Book-store 1978, pp. 595--621. \bibitem{Ogus}A.~Ogus, \emph{Supersingular K3 crystals.} Journ\'ees de G\'eom\'etrie Alg\'ebrique de Rennes (Rennes, 1978), Vol. II. Ast\'erisque \textbf{64} (1979), 3--86. \bibitem{FO:CGS}F.~Oort, \emph{Commutative group schemes}.Lect. Notes Math. \ 15, Springer-Verlag, 1966. \bibitem{FO:GrSch0}F.~Oort,

Page 21: HO-bib-v1b.tex Page 1 of 30chai/HObook/older_files/HO-bib-v1b.pdf · C.-L.~Chai, \emph{Compactification of Siegel moduli schemes}. London Math. Soc. Lecture Note Series 107, 1985

File: /home/chai/Mypapers/HObook/current/HO-bib-v1b.tex Page 21 of 30

\emph{GrSchcharzero} \bibitem{FO:Oslo}F.~Oort, \emph{Finite group schemes, local moduli for abelian varieties and lifting problems.} Compos. Math.\textbf{23} (1971), 265 - 296. Also In \emph{Algebraic geometry Oslo 1970 } (F. Oort, ed.). Wolters - Noordhoff 1972; pp. 223--254. \bibitem{FO:IsogenyCl}F.~Oort, \emph{The isogeny class of a CM-type abelian variety is defined over a finite extension of the prime field}. Journ. Pure Appl. Algebra \textbf{3} (1973), 399--408. \bibitem{FO:Subvar}F.~Oort, \emph{Subvarieties of moduli spaces.} Invent. Math. \textbf{24} (1974), 95--119. \bibitem{FO:Products} F. ~Oort, \emph{Which abelian surfaces are products of elliptic curves?} Math. Ann. \textbf{214} (1975), 35--47. \bibitem{FO:IsogFormGr}F.~Oort, \emph{Isogenies of formal groups}. Indag. Math. \textbf{37} (1975), 391--400. \bibitem{FO:Bowdoin} F.~Oort, \emph{Lifting algebraic curves, abelian varieties and their endomorphisms to characteristic zero}. In \emph{Algebraic geometry, Bowdoin 1985} (S.~Bloch, ed.).Proceed. Sympos. Pure Math. \textbf{46} Part 2, AMS 1987; pp. 165--195. \bibitem{FO:Endo}F.~Oort, \emph{Endomorphism algebras of abelian varieties}. In \emph{Algebraic geometry and commut. algebra in honor of M. Nagata} (H. Hijikata et al., ed.), Kinokuniya Cy Tokyo, Japan, 1988, Vol. II; 469--502. \bibitem{FO:CR}F.~Oort, \emph{Moduli of abelian varieties and Newton polygons}. Compt. Rend. Acad. Sc. Paris \textbf{312} S\'er. I (1991), 385--389. \bibitem{FO:CMlift} F. ~Oort, \emph{CM-liftings of abelian varieties}. Journ. Alg. Geom. \textbf{1}, 1992, 131--146. %\bibitem{oort:cmlift}%F. Oort, %\emph{CM-liftings of abelian varieties}. %Journ. Alg. Geom. \textbf{1} (1992), 131--146. \bibitem{FO:Egloff}F.~Oort, \emph{Complete subvarieties of moduli spaces}. In \emph{Abelian varieties. Proceed. Internal. Conf. Egloffstein 1993} (W.~Barth, K.~Hulek \& H.~Lange,

Page 22: HO-bib-v1b.tex Page 1 of 30chai/HObook/older_files/HO-bib-v1b.pdf · C.-L.~Chai, \emph{Compactification of Siegel moduli schemes}. London Math. Soc. Lecture Note Series 107, 1985

File: /home/chai/Mypapers/HObook/current/HO-bib-v1b.tex Page 22 of 30

ed.). De Gruyter 1995; pp. 225--235. \bibitem{FO:Que}F.~Oort, \emph{Some questions in algebraic geometry}. $[$preliminary version. Manuscript, June 1995.$]$ \bibitem{FO:Cortona}F.~Oort, \emph{Canonical liftings and dense sets of CM-points.} Sympos. arithmetic geometry. In \emph{Arithmetic Geometry, Cortona, Italy October 1994} (F.~Catanese, ed.). Ist. Naz. Alta Mat. F. Severi 1997, Cambridge Univ. Press; pp. 228--234. \bibitem{FO:CH}F.~Oort, \emph{Newton polygons and formal groups: conjectures by Manin and Grothendieck.} Ann. Math. \textbf{152} (2000), 183--206. %{FO-CH} \bibitem{FO:EO}F.~Oort, \emph{A stratification of a moduli space of polarized abelian varieties.} In \emph{Moduli of abelian varieties,} Texel Island, 1999 (C.~Faber, G. van~der Geer, F.~Oort, ed.). Progress Math. 195, Birkh\"auser Verlag 2001; pp. 345--416. \bibitem{FO:NPAV_Texel} F.~Oort, \emph{Newton polygon strata in the moduli space of abelian varieties.} In \emph{Moduli of abelian varieties,} Texel Island, 1999 (C.~Faber, G. van~der Geer \& F.~Oort, ed.).Progress in Math. 195, Birkh\"auser Verlag 2001; pp. 417--440. \bibitem{FO:Pur}F.~Oort, \emph{Purity reconsidered.} Conference ``The cohomology of moduli spaces'' organized by G. van~der Geer and C.~Faber. Amsterdam 16-20/ XII / 2002. Manuscript 9 pp. XXdelete? \bibitem{FO:BonnII03}F.~Oort, \emph{Monodromy, Hecke orbits and Newton polygon strata.} Talk Bonn 24-II-2003. Manuscript 9 pp.??delete?? \bibitem{FO:Orsay03}F.~Oort, \emph{Hecke orbits and stratifications in moduli spaces of abelian varieties.} Talk at the Orsay / SAGA, 14-X-2003, 10 pp.??delete?? \bibitem{FO:SpecialPoints}F. ~Oort, \emph{Special points in Shimura varieties, an introduction}. Intercity Seminar 14-XI-2003. Manuscript, 16 pp. ??delete?? \bibitem{FO:ZuerichIV04}F.~Oort, \emph{Hecke orbits in moduli spaces of abelian varieties and foliations}. Talk at the ETH in Z\"urich, 2-IV-2004, 12 pp. ??delete?? \bibitem{FO:Fol}F.~Oort,\emph{Foliations in moduli spaces of abelian varieties}. Journ. Amer. Math. Soc. \textbf{17} (2004), 267--296. \bibitem{FO:Problem}F.~Oort, \emph{Abelian varieties isogenous to a Jacobian}. In \emph{Problems from the workshop on ``Automorphisms of Curves''} (Leiden, August,2004). (G.~Cornelissen \& F.~Oort, ed.).

Page 23: HO-bib-v1b.tex Page 1 of 30chai/HObook/older_files/HO-bib-v1b.pdf · C.-L.~Chai, \emph{Compactification of Siegel moduli schemes}. London Math. Soc. Lecture Note Series 107, 1985

File: /home/chai/Mypapers/HObook/current/HO-bib-v1b.tex Page 23 of 30

Rendiconti del Seminario Matematico, Padova, \textbf{113} (2005), 129 -- 177. \bibitem{FO:CEB}F.~Oort, \emph{Newton polygons and $p$-divisible groups: a conjecture by Grothendieck}. In \emph{Formes automorphes (I)} (Semestre printemps 2000, center \'Emile Borel) (J.~Tilouine et al, ed.).Ast\'erisque \textbf{298} (2005); pp. 255--269. ??delete?? \bibitem{FO:Minp}F.~Oort, \emph{Minimal p-divisible groups}. Ann. Math.\textbf{161} (2005), 1--16. \bibitem{FO:ManinConf}F.~Oort, \emph{Abelian varieties and $p$-divisible groups}. Yuri Manin's Emeritierungs Conference, 24/26-II-2005. Manuscript 10 pp.??delete?? \bibitem{FO:Duess}F.~Oort, \emph{Foliations in moduli spaces of abelian varieties and dimension of leaves}. Felix-Klein-Kolloquium, D\"usseldorf 2-VII-2005. Manuscript 20 pp.??delete?? \bibitem{FO:Simple}F.~Oort, \emph{Simple $p$-kernels of $p$-divisible groups}.Advances in Mathematics \textbf{198} (2005), 275 - 310.Special volume in honor of Michael ArtIn Part I (A. de~Jong, E.~Friedlander, L.~Small, J.~Tate, A.~Vistoli \& J.~Zhang, ed.). \bibitem{FO:Goe07}F.~Oort, \emph{Abelian varieties over finite fields}. In \emph{Summer School on "Varieties over finite fields"}, G\"ottingen, 25-VI\,--\,6-VII-2007. \emph{Higher-dimensional geometry over finite fields}, Proceedings of the NATO Advanced Study Institute 2007 (D.~Kaledin \& Y.~Tschinkel, ed.). IOS Press 2008, 123--188. \bibitem{FO:Dimleaves}F.~Oort, \emph{Foliations in moduli spaces of abelian varieties anddimension of leaves}. In \emph{Algebra, Arithmetic and Geometry - Volume II: In Honor of Yu. I. Manin} (Manin Festschrift; Y.~Tschinkel \& Yu.~Zarhin, ed.). Progress in Mathematics Vol. 270, Birkh\"auser 2009; pp. 465--502. \bibitem{FO:Moduli}F.~Oort, HandbookXXX \bibitem{FO-Sek}F.~Oort, T.~Sekiguchi, \emph{The canonical lifting of an ordinary Jacobian variety need not be a Jacobian variety}. Journ. Math. Soc. Japan \textbf{38} (1986), 427--437. \bibitem{FO-JHMS}F.~Oort, J.~Steenbrink, \emph{The local Torelli problem for algebraic curves}. In \emph{Journ\'ees de G\'eom\'etrie Alg\'ebrique d'Angers} (A.~Beauville, ed.) Sijthoff \& Noordhoff 1980;pp. 157--204. \bibitem{FO-TZ}F. Oort \& T. Zink, \emph{Families of $p$-divisible groups with constant Newton polygon}. Documenta Math. \textbf{7} (2002), 183 -- 201.

Page 24: HO-bib-v1b.tex Page 1 of 30chai/HObook/older_files/HO-bib-v1b.pdf · C.-L.~Chai, \emph{Compactification of Siegel moduli schemes}. London Math. Soc. Lecture Note Series 107, 1985

File: /home/chai/Mypapers/HObook/current/HO-bib-v1b.tex Page 24 of 30

\bibitem{Oesterle}J.~Oesterl\'e,\emph{Versions effectives du th\'eor\`eme de Chetotarev sous l'hypoth\`esede Riemann g\'en\'eralis\'ee}.Ast\'erisque \textbf{61} (1979), 165--167. \bibitem{Pila}J.~Pila, \emph{O-minimality and the Andr\'e-Oort conjecture for ${\mathbf C}^n$}. Ann. Math. \textbf{173} (2011), 1779--1840. \bibitem{Pink}R.~Pink,\emph{The Mumford-Tate conjecture for Drinfeld modules}.Publ. RIMS, Kyoto Univ. \textbf{33} (1997), 393--425. \bibitem{Pink-R}R.~Pink, D.~R\"ossler, \emph{On Hrushovski's proof of the Manin-Mumford conjecture}. In \emph{Proceedings of the International Congress of Mathematicians} (Beijing, 2002); Vol. I (Tatsien Li, ed.). Higher Education Press, Beijing, 2002 ; pp. 539--546. \bibitem{P-R}V.~Platonov \& A.~Rapinchuk, \emph{Algebraic groups and number theory}. Academic Press 1994. %{PR} \bibitem{Rapoport}M.~Rapoport, \emph{On the Newton stratification}. S\'em. Bourbaki \textbf{54} (2001-2002), n$^0$ 903, March 2003. %{Rapoport} \bibitem{R-Z}M.~Rapoport \& Th.~Zink, \emph{Period spaces for $p$-divisible groups}. Ann. Math. Studies \textbf{141}, Princeton University Press 1996. \bibitem{Rapoport-Compactif}M.~Rapoport, \emph{Compactifications de l'espace de modules de {H}ilbert-{B}lumenthal}. Compos. Math. \textbf{36} (1978) 255--335. \bibitem{Raynaud:pp}M. Raynaud, \emph{Sch\'emas en groupes de type \((p,\ldots,p)\)}. Bull. Soc. math. France \textbf{102} (1974), 241--280. \bibitem{Raynaud1}M.~Raynaud, \emph{Courbes sur une vari\'et\'e ab\'elienne et points de torsion}. Invent. Math. 71 (1983), 207--233. \bibitem{Raynaud2}M.~Raynaud, \emph{Sous-vari\'et\'es d'une vari\'et\'e ab\'elienne et points de torsion}. In \emph{Arithmetic and geometry}; Vol.~I (M.~Artin \& J.~Tate, ed.). Progress Math. 35, Birkh\"auser 1983; pp. 327--352. \bibitem{Reid}C.~Reid, \emph{Hilbert}. Springer-Verlag, 1996.??delete?? \bibitem{Ribet-padicInterpol}

Page 25: HO-bib-v1b.tex Page 1 of 30chai/HObook/older_files/HO-bib-v1b.pdf · C.-L.~Chai, \emph{Compactification of Siegel moduli schemes}. London Math. Soc. Lecture Note Series 107, 1985

File: /home/chai/Mypapers/HObook/current/HO-bib-v1b.tex Page 25 of 30

K.~Ribet, \emph{{$p$}-adic interpolation via {H}ilbert modular forms}.In \emph{Algebraic geometry}, {H}umboldt {S}tate {U}niv., {A}rcata, {C}alif., 1974.({P}roc. {S}ympos. {P}ure {M}ath., {V}ol. 29, Amer. Math. Soc. 1975; pp. \ 581--592. \bibitem{Ribet-padicL} K.~Ribet, \emph{{$p$}-adic {$L$}-functions attached to characters of {$p$}-power order}.In \emph{S\'eminaire {D}elange-{P}isot-{P}oitou, 19e ann\'ee: 1977/78, {T}h\'eorie des nombres, {F}asc. 1}, Exp. No. 9, 8. Secr\'etariat Math. 1978. XXX check Exp. No. 9, 8 \bibitem{R}B.~Riemann, \emph{Theorie der Abel'schen Functionen}.Journ. reine angew. Math. \textbf{54} (1857), 101--155. \bibitem{Rohde}C.~Rohde, \emph{Cyclic coverings, Calabi-Yau manifolds and complex multiplication}. Lect. Notes Math. 1975, Springer - Verlag 2010. \bibitem{Schmidt}C.-G.~Schmidt, \emph{Arithmetik abelscher Variet\"aten mit komplexer Multiplikation}.%Springer Lect. Notes Math. 1082, Springer-Verlag 1984. \bibitem{Schoen}C.~Schoen, \emph{Hodge classes on self-products of a variety with an automorphism}. Compos. Math. \textbf{65} (1988), 3--32. \bibitem{Sem:genre>=2}\emph{S\'eminaire sur les pinceaux de courbes de genre au moins deux} (L.~Szpiro \& 00

8E B.~Arnaud). Ast\'erisque \textbf{86} (1981). \bibitem{Sem:PincArithm}\emph{S\'eminaire sur les pinceaux arithm\'etiques: la conjecture de Mordell} (L.~Szpiro \& M.~Deschamps). Ast\'erisque, \textbf{127} (1985). \bibitem{Serre:LocClFieldTh}J-P.~Serre, \emph{Local class field theory}.In \emph{Algebraic number theory} (J.~Cassels \& A.~Fr\"{o}hlich, ed.).Academic Press 1967, 129--161. \bibitem{Serre:CM} J-P.~Serre, \emph{Complex multiplication}.In \emph {Algebraic number theory} (J.~Cassels \& A.~Fr\"{o}hlich, ed.).Academic Press, New York, 1967, 292--296. \bibitem{Serre:Abelian} J-P.~Serre, \emph{Abelian \(\ell\)-adic representations and elliptic curves}. W.~A.~Benjamin, 1968. \bibitem{Serre:LinRep}J-P.~Serre,\emph{Linear representations of finite groups}.Springer-Verlag, 1977. \bibitem{Serre:LocFields}

Page 26: HO-bib-v1b.tex Page 1 of 30chai/HObook/older_files/HO-bib-v1b.pdf · C.-L.~Chai, \emph{Compactification of Siegel moduli schemes}. London Math. Soc. Lecture Note Series 107, 1985

File: /home/chai/Mypapers/HObook/current/HO-bib-v1b.tex Page 26 of 30

J-P.~Serre, \emph{Local fields}. Grad. Texts Math. 67. Springer-Verlag 1979. \bibitem{Serre:HT} J-P.~Serre, \emph{Groupes alg\'ebriques associ\'es aux modules de Hodge-Tate}. Ast\'erisque \textbf{65} (1979) 155--188. \bibitem{Serre-Tate} J-P.~Serre \& J.~Tate, \emph{Good reduction of abelian varieties}. Ann. Math. \textbf{88} (1965), 492--517. \bibitem{Shatz}S.~Shatz, \emph{Group schemes, formal groups, and $p$-divisible groups}. In \emph{Arithmetic geometry} (G.~Cornell \& J.~Silverman, ed.), Springer-Verlag, New York, 1986. \bibitem{Shimura63}G.~Shimura, \emph{On analytic families of polarized abelian varieties and automorphic functions}. Ann. of Math. \textbf{78} (1963), 149--193. \bibitem{Shimura64}G.~Shimura, \emph{On purely transcendental fields of automorphisms of several variables}. Osaka Journ. Math. \textbf{1} (1964), 1--14. \bibitem{Shimura:Introd}G.~Shimura, \emph{Introduction to the arithmetic theory of automorphic functions}. Princeton Univ. Press, 1971; reprinted 1994. \bibitem{Shimura:zetaCM}G.~Shimura, \emph{On the zeta-function of an abelian variety withcomplex multiplication}. Ann. Math. \textbf{94} (1971), 504--533. \bibitem{Shimura:CM}G.~Shimura, \emph{Abelian varieties with complex multiplicationand modular functions}. Princeton Univ. Press 1998. \bibitem{Shimura-Taniyama}G.~Shimura \& Y.~Taniyama, \emph{Complex multiplication of abelian varieties andits applications to number theory}. Publ. Math. Soc. Japan 6, 1961. \bibitem{Shioda}T.~Shioda, \emph{Supersingular K3 surfaces}. In \emph{Algebraic Geometry,} Copenhagen 1978 (K. L\o nsted, ed.). %Springer Lect. Notes Math. 732, Springer-Verlag 1979 ; pp. \ 564--591. %{Shioda} \bibitem{Springer:LAG}T.~Springer, \emph{Linear algebraic groups}. Second edition. Progress Math. 9, Birk\-h\"auser 1998. \bibitem{Szpiro:Intro}L.~Szpiro, \emph{Degr\'es, intersections, hauteurs}.In {Ast\'erisque} \textbf{127} (1985), 11--28.

Page 27: HO-bib-v1b.tex Page 1 of 30chai/HObook/older_files/HO-bib-v1b.pdf · C.-L.~Chai, \emph{Compactification of Siegel moduli schemes}. London Math. Soc. Lecture Note Series 107, 1985

File: /home/chai/Mypapers/HObook/current/HO-bib-v1b.tex Page 27 of 30

\bibitem{Tate:Conj}J.~Tate, \emph{Algebraic cycles and poles of zeta functions}. In\emph{Arithmetical algebraic geometry} (Proc. Conf. Purdue Univ., 1963). Harper \& Row, New York, 1965, 93--110. \bibitem{Tate:Endoff}J.~Tate, \emph{Endomorphisms of abelian varieties over finite fields}. Invent. Math.\ \textbf{2} (1966), 134--144. \bibitem{Tate:pdiv}J.~Tate, \emph{\(p\)-divisible groups}.In \emph{Proc.\ conference on local fields} (T. Springer, ed.), Springer-Verlag 1967, 158--183. \bibitem{Tate:CFT67}J.~Tate, \emph{Global class field theory}.In \emph {Algebraic number theory} (J.~Cassels \& A.~Fr\"{o}hlich, ed.),Academic Press 1967, 163--203. \bibitem{Tate-Bourb}J.~Tate, \emph{Class d'isogenie des vari\'et\'es ab\'eliennes sur un corps fini} (d'apr\`es T.~Honda).S\'eminaire Bourbaki, 1968/69, no.\ 352.Lect. Notes Math. 179, Springer-Verlag 1971, 95--110. \bibitem{T-O}J.~Tate \& F. Oort, \emph{Group schemes of prime order.} Ann. Sci. \'Ecole Norm. Sup. (4) \textbf{3} (1970), 1--21. %\bibitem{ot}%J.~Tate \& F. Oort, %\emph{Group schemes of prime order}. %Ann. Sci. ENS \textbf{3} (1970), 1--21. \bibitem{Titchmarsh}E.~Titchmarsh \& D.~Heath-Brown,\emph{The theory of the Riemann zeta-function}, second edition, Clarendon Press, Oxford, 1986.??delete?? \bibitem{Tsim}J.~Tsimerman, \emph{The existence of an abelian variety over the algebraic numbers isogenous to no Jacobian.} $[$In preparation.$]$ \bibitem{Ullmo-Yaf}E.~Ullmo \& A.~Yafaev, \emph{Galois orbits of special Shimura varieties}.$[$In preparation.$]$ \bibitem{U-Z}D.~Ulmer \& Y.~Zarhin, \emph{Ranks of jacobians in towers of function fields}. {\tt arXiv:1002.3318} ??delete?? \bibitem{Umemura}H.~Umemura,\emph{Formal moduli for \(p\)-divisible groups}.Nagoya Math. Journ. \textbf{42} (1971), 1--7.

Page 28: HO-bib-v1b.tex Page 1 of 30chai/HObook/older_files/HO-bib-v1b.pdf · C.-L.~Chai, \emph{Compactification of Siegel moduli schemes}. London Math. Soc. Lecture Note Series 107, 1985

File: /home/chai/Mypapers/HObook/current/HO-bib-v1b.tex Page 28 of 30

\bibitem{Vasiu:Bound}A.~Vasiu, \emph{Crystaline boundedness principle.} Ann. Sci. \'Ecole Norm. Sup. (4) \textbf{39} (2006) 245--300. \bibitem{Vasiu:Reconstr}A.~Vasiu, \emph{Reconstructing $p$-divisible groups from their truncation of small level.} Comment. Math. Helv. \textbf{85} (2010) 165--202. \bibitem{Vasiu:Defo}A.~Vasiu, \emph{Deformation subspaces of $p$-divisible groups as formal Lie groups associated to $p$-divisible groups.} {\tt arXiv:math/0607508} \bibitem{Vasiu-Zink:Breuil}A.~Vasiu \& T.~Zink, \emph{Breuil's classification of \(p\)-divisible groups overregular local rings of arbitrary dimension}. Preprint July 15, 2008. \bibitem{Viehmann:ModSp}E.~Viehmann, \emph{Moduli spaces of $p$-divisible groups}.Journ. Algebr. Geom. \textbf{17} (2008), 34--374.%Manuscript, math.AG/0502320, 27 pages,%Version 1: Tue, 15 Feb 2005.% Mierendorff \bibitem{Viehmann:Global}E.~Viehmann, \emph{The global structure of moduli spaces of polarized $p$-divisible groups.} Documenta Math. \textbf{13} (2008), 825--852. \bibitem{Viehmann:Trunc}E.~Viehmann, \emph{Truncations of level 1 of elements in the loop group of a reductive group.} {\tt arXiv:0907.2331, July 2009} XXX appeared? \bibitem{Waterhouse} W.~Waterhouse, \emph{Affine group schemes}. Grad. Texts Math. 66, Springer-Verlag 1979. \bibitem{Wat-Milne}W.~Waterhouse \& J.~Milne, \emph{Abelian varieties over finite fields.}Proc. Sympos. pure math. Vol. XX,1969 Number Theory Institute(Stony Brook), AMS 1971; pp. 53 -- 64.XXXcheckXXXcheckMilne-Wat? \bibitem{Wedhorn}T.~Wedhorn, \emph{The dimension of Oort strata of Shimura varieties of} PEL\emph{-type}. \emph{Moduli of abelian varieties.} (C.~Faber, G. van~der Geer \& F. Oort, ed.). Progress Math. 195, Birkh\"auser Verlag 2001; pp. 441--471. \bibitem{Wedhorn:F}T.~Wedhorn, \emph{Specializations of $F$-Zips.} Ms. 22 pp., 20-VI-2005. %{Wedhorn-F}

Page 29: HO-bib-v1b.tex Page 1 of 30chai/HObook/older_files/HO-bib-v1b.pdf · C.-L.~Chai, \emph{Compactification of Siegel moduli schemes}. London Math. Soc. Lecture Note Series 107, 1985

File: /home/chai/Mypapers/HObook/current/HO-bib-v1b.tex Page 29 of 30

\bibitem{Weil:HeckeChar}A.~Weil, \emph{On a certain type of character of the id\`ele-classgroup of an algebraic number field}. In \emph{Proc. intern. symp. on algebraic number theory},Tokyo-Nikko, 1955, 1--7. XXXcheck did Weil write id\`ele \bibitem{Weil:Basic}A.~Weil, \emph{Basic number theory}. Springer-Verlag 1974. \bibitem{Weil,76}A.~Weil, \emph{Sur les p\'eriodes des int\'egrales.}Comm. on Pure and Appl. Math. \textbf{29} (1976), 813--819. A.~Weil -- Collected papers, Vol. III, $[$1976b$]$. \bibitem{Wust-Faltings:RatPts}G.~W\"ustholz \& G.~Faltings, \emph{Rational Points}. Vieweg, 1984.XXXadd data ?? order W~~F correct? or F~~W? \bibitem{Yang}Y.~Yang, \emph{An improvement of the De Jong-Oort Purity theorem.}To appear in M\"unster Journal of Math.XXX check XXX check is this an improvement? \bibitem{Yuchiafu:Lifting}C.-F.~Yu, \emph{Lifting abelian varieties with additional structure}. Math. Z. \textbf{242} (2002), 427--441. \bibitem{Yuchiafu:Thesis}C.-F.~Yu, \emph{On the supersingular locus in Hilbert-Blumenthal $4$-folds}. Journ. Alg. Geom. \textbf{12} (2003), 653--698. \bibitem{Yuchiafu:RedHB}C.-F.~Yu, \emph{On reduction of Hilbert-Blumenthal varieties}. Annales de l'Institut Fourier (Grenoble) \textbf{53},(2003) 2105--2154. \bibitem{Yu:IsomCl}% \bibitem{yuchiafu:cm} C.-F.~Yu, \emph{The isomorphism classes of abelian varieties of CM-type}. Journ. Pure Applied Algebra \textbf{187} (2004), 305--319. \bibitem{Zarhin}Y.~Zarhin, \emph{Abelian varieties in characteristic $p$}. Mat. Zametki \textbf{19} (1976), 393--400. \bibitem{Zink:Cartier}T.~Zink, \emph{Cartiertheorie kommutative formaler Gruppen}.Teubner, 1984. \bibitem{Zink:DieudTh}T.~Zink, \emph{A Dieudonn\'e theory for $p$-divisible groups}. Manuscript, 23 pp., September 1998. %{Zink3}

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%A Dieudonné theory for $p$-divisible groups. In \emph{Class field theory---its centenary and prospect} (Tokyo, 1998). Adv. Stud. Pure Math., 30, Math. Soc. Japan 2001; pp.\ 139--160. \bibitem{Zink:Windows}T.~Zink, \emph{Windows for displays of \(p\)-divisible groups}.In \emph{Moduli of abelian varieties.} (C.~Faber, G. van~der Geer \& F. Oort, ed.). Progress Math. 195, Birkh\"auser Verlag 2001;pp.\ 491--518. \bibitem{Zink:SlFiltration}T.~Zink, \emph{On the slope filtration.} Duke Math. Journ. \textbf{109} (2001), 79--95. \bibitem{Zink:Displays}T.~Zink, \emph{The display of a formal \(p\)-divisible group}.\emph{Ast\'erisque} \textbf{278} (2002), 127--278. \bibitem{Zink:dJO}T.~Zink, \emph{De Jong-Oort purity for $p$-divisible groups.} In \emph{Algebra, Arithmetic and Geometry - Volume II: In Honor of Yu. I. Manin} (Manin Festschrift; Y.~Tschinkel \& Yu.~Zarhin, ed.). Progress in Mathematics Vol. 270, Birkh\"auser 2009; pp. 693 -- 701. \end{thebibliography} \endinput