Lista das Publicacoes(Letterio Gatto)

Artigos publicados em Revistas

[1] “On One property of One solution of One equations” or Linear ODE’s,Wronskian and Schubert Calculus, Moscow Mat. J., 12, no. 2, (2012)275–291(con I. Scherbak)

[2] The Wronskian and its Derivatives, Atti Acc. Peloritana dei Pericolanti,Physical,Mathematical, and Natural Sciences, 89, no. 2 (2011), 14 pages,doi: 10.1478/C1C8902001;

[3] Jets of Line Bundles on Curves and Wronskians, J. Pure Applied Al-gebra, 215 (2011),1528–1538, doi:10.1016/j.jpaa.2010.10.006 (conC. Cumino e A. Nigro);

[4] Equivariant Schubert Calculus, Ark. Mat. 48 (2010), no. 1, 41–55, doi:10.1007/s11512-009-0093-5 (con T. Santiago).

[5] Families of special Weierstrass points, C. R. Math. Acad. Sci. Paris347 (2009), no. 21–22, 1295–1298, doi:10.1016/j.crma.2009.09.018(con P. Salehyan);

[6] Newton formulas in Schubert Calculus, Revista Matematica Com-plutense, 22 no. 1, 2008, 129–152 (con J. Cordovez and T. San-

tiago).

[7] Schubert calculus on a Grassmann algebra, Canad. Math. Bull.52 (2009), no. 2, 200–212, doi:10.4153/CMB-2009-023-x (con T.

Santiago).

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[8] Limits of Special Weierstrass Points, Int. Mat. Res. Papers, April 1,2008, doi:10.1093/imrp/rpn001 (con C. Cumino and E. Esteves),

[9] Special Ramification Loci on the double product of a general curve,Quarterly J. Math. 59, 2008, 163–187, doi: 10.1093/qmath/ham032

(con C. Cumino and E. Esteves).

[10] Schubert Calculus via Hasse-Schmidt Derivations, Asian J. Math., 9,No. 3, 2005, 315–322.

[11] A Geometric Interpretation and a New Proof of a relation by Cornalbaand Harris, Comm. Alg., 31, no. 8, 2003, 3753–3770 (con E. Esteves).

[12] Limit Weierstrass Schemes on stable curves with 2 irreducible compo-nents, Rend. Acc. Sci. Lincei, 12, 2001, 205–228 (con M. Coppens).

[13] On the closure in M g of Smooth Curves having a special WeierstrassPoint, Math. Scand. 88, 2001, 41–71.

[14] Derivatives of Wronskians with applications to families of Special Weier-strass Points, Trans. Amer. Math. Soc. 351–6, 1999, 2233–2255 (con F.

Ponza).

[15] Weierstrass Points on Singular Curves, Rend. Sem. Mat. Fis. Pol. Univ.Torino, 55-2, 1997, 145–170. (con E. Ballico)

[16] On Bounds for the Weierstrass Weight at Singular Points of GorensteinCurves, Boll. Un. Mat. Italiana, 9-B, 1995, 901–918 (con E. Ballico).

[17] On the monodromy of Weierstrass Points on Gorenstein Curves, J. Alg.,175, 633-643, 1995 (con E. Ballico).

[18] Computing Gaps Sequences at Gorenstein Singularities, in “ProjectiveGeometry with Applications”, E. Ballico ed. Marcel Dekker inc., 1994,111-128.

[19] Weierstrass Loci and Generalizations, I, in “Projective Geometry withApplications”, E. Ballico ed., Marcel Dekker, inc., 1994, 137-166.

[20] Weight Sequences Versus Gap Sequences at Singular Points of Goren-stein Curves, Geometriae Dedicata, 54, 1995, 267–300.

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[21] Closed Subschemes of Pr: Remarks on the Cohomology of their1-Codimensional Subschemes, J. Alg., 163-1, 1994, 265–280. (conM. L. Spreafico)

[22] Algebraic Curves and Differential Equations: an Introduction, Queen’sPaper, 1991, B1–B69 (con S. Greco).

[23] A Remark on Griffiths’ Cohomological Interpretation of Lax Equations:Higher Genus Case, Atti Acc. Sci. di Torino, 126 (3-4), 1992, 63–70.(con E. Previato)

[24] An Introduction to Hypersymplectic Vector Spaces, Atti Acc. Sci. diTorino, 124, 1990, 235–247.

[25] Reducibility of G-Invariant Linear connections in principal G-bundles,Colloquia Mathematica Societatis Janos Bolyai (Differential Geom-etry, Eger (Hungary)) 56, 1989 231–252 (con M. Ferraris and

M. Francaviglia)

[26] Principal Connection from G-Invariant Linear Connections, Boll.Un. Mat. Italiana, 4-B, 1990, 905-926. (con M. Ferraris and

M. Francaviglia).

[27] Remarks on Right Invariant Vectorfield Bases in Principal Bundlesand their Applications to Decompositions Theorems, Rend. Sem.Mat. Univ. Pol. Torino, 46(3), 1998, 309–322 (con M. Ferraris and

M. Francaviglia).

[28] A Natural Decomposition of S1-invariant Linear Connections on S1-Bundles, Rend. Ist. Lombardo Sci. Lett. A122, 1989, 65–77 (conM. Ferraris and M. Francaviglia).

[29] Towards an Affine Approach to Kaluza-Klein Theory, Atti Sem. Mat.Fis. Univ. Modena, XXXVII, 1989, 131–145 (con M. Ferraris and

M. Francaviglia).

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Artigos publicados em Proceedings de Eventos

[30] On generalized Wronskians, in “Contribution to Algebraic Geometry”6, Impanga Lecture Notes (P. Pragacz Ed.), EMS Congress Series Re-port 257–296, 2012, ISBN 978-3-03719-114-9, doi:10.4171/114 (con I.Scherbak, artigo peer-reviewed).

[31] Families of Wronskian Correspondences, in “Geometric and Combinato-rial Aspect of Commutative Algebra”, Herzog, Restuccia eds., 2001,199–210 (artigo peer-reviewed).

Livros

[32] Linear ODE: an algebraic perspective, XXII Escola de Algebra, Salvadorde Bahia, 2012, Publicacoes Matematicas do IMPA n. 40, 2012.

[33] Schubert Calculus: an Algebraic Introduction, 25◦ Coloquio Brasileirode Matematica, 25◦ CBM-11, Instituto Nacional de Matematica Puraand Aplicada, Rio de Janeiro, 2005.

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[34] Intersection Theory on Moduli Spaces of Curves, Monografias deMatematica, 61, Instituto Nacional de Matematica Pura and Aplicada,Rio de Janeiro, 2000.

[35] Lezioni di Algebra Lineare e Geometria per l’Ingegneria, CLUT, Torino,2012.

[36] Un’introduzione amichevole alla forma Canonica di Jordan, CLUT,Torino, 1999.

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Artigo historico (em italiano

[37] La mosca di Hilbert. L’ultimo teorema di Fermat da Fermat ai giorninostri, Conferenze e Seminari 1995-96, Associazione Subalpina Mathesis,1996, 134–148.

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