CURRICULUM VITAE

SURNAME AND NAME SIMIS, ARON

Home Address

Phone number

Fax number

E-mail address

Nationality Brazilian

Birth date June 20 1942

Academic Position (if the candidate holds a position in a University)

Qualification/Title PhD

University Universidade Federal de Pernambuco

Department Departamento de Matemática

Academic Field Mathematics

Academic Discipline Commutative algebra/algebraic geometry

Working experience (please use the following table in order to briefly describe the working positionscovered by the candidate)

Dates ( from .. to..) 1972-1981 | 1981-1988 | 1989-1996 | 1996-present

Name and address of the Employer (Public or/andprivate institution/body)

IMPA,,Br | UFPE,Math,Br | UFBA,Math,Br | UFPE,Math,Br

Position held (for positions in Universities, thecandidate should indicate theFaculty/College/School and the Department)

Ass. Prof. | Ass. Prof. | Ass. Prof. | Full Prof.

Full Prof.

Main activities/responsibilities Teaching/Research/Head of Graduate School/Head of ResearchGroup

Education and Training (please use the following table to describe Degrees awarded, by onlyindicating the information concerning Bachelor’s Degree, Master of Science’s Degree or/and PhD)

Date 1964 1969 1972

Institution which issued the degree UFPE, Br Queen’s Univ, Cn Queen’s Univ, Cn

Type of Degree awarded (only Bachelor’s Degree,Master of Science’s Degree, PhD)

Bsc Msc PhD

EVALUATION FIELDS

1. Scientific Activity

1 The three most important outcomes/results of the research activity of the candidate accompaniedby the tangible and verifiable evidence that the presented results:

are original, significant and due to the determining, prevailing and clearly recognizablecontribution of the candidate;

have been widely spread and have obtained outstanding recognition by the internationalscientific community;

qualify the candidate as a distinguished international expert in his/her own field.

(a) The theory of the Approximation Complexes

(a.1) J. Herzog, A. Simis and W. Vasconcelos, Approximation complexes of blowing-up rings, J. Algebra 74 (1982), 466-493.

(a.2) J. Herzog, A. Simis and W. Vasconcelos, Approximation complexes of blowing-up rings, II, J. Algebra 82 (1983), 53-83.

(a.3) J. Herzog, A. Simis and W. Vasconcelos, Koszul homology and blowing-up rings, in Com-mutative Algebra,Proceedings of the Trento Conference (Silvio Greco and Giuseppe Valla, Eds.), Lecture Notes in Pure and Applied Mathematics 84,Marcel-Dekker, New York, (1983), 79-169.

(b) The theory of Rees algebras of modules and its uses in algebraic geometry

(b.1) A. Simis, B. Ulrich and W. Vasconcelos, Jacobian dual fibrations, Amer. J. Math. 115 (1993), 47-75.

(b.2) A. Simis, B. Ulrich and W. Vasconcelos, Tangent star cones, J. reine angew. Math., 483 (1997), 23-59.

(b.3) A. Simis, B. Ulrich and W. Vasconcelos, Codimension, multiplicities and integral extensions, Math. Proc. Camb. Phil.Soc. 130, (2001), 237-257.

(b.4) A. Simis, K. Smith and B. Ulrich, An algebraic proof of Zak's inequality for the dimension of the Gauss image, Math.Z. 241 (2002), 871-881.

(b.5) A. Simis, B. Ulrich and W. Vasconcelos, Rees algebras of modules, Proc. London Math. Soc., 87 (3) (2003), 610-646.

(b.6) A. Simis, B. Ulrich and W. Vasconcelos, Tangent algebras, Trans. Amer. Math. Soc., 364 (2012), 571-594.

(c) Birational geometry via syzygies.

(c.1) A. Simis and F. Russo, On birational maps and Jacobian matrices, 126 (2001), 335-358.

(c.2) A. Simis, Cremona transformations and some related algebras, J. Algebra 280 (2004), 162-179.

(c.3) A. Simis and R. Villarreal, Linear syzygies and birational combinatorics, Results in Math., 48 (2005), 326-343.

(c.4) C. Ciliberto, F. Russo and A. Simis, Homaloidal hypersurfaces and hypersurfaces with vanishing Hessian, Advances inMath., 218 (2008) 1759-1805.

(c.5) B. Costa and A. Simis, Cremona maps dened by monomials, J. Pure Appl. Algebra, 216 (2012), 212-225.

(c.6) A. Simis and R. Villarreal, Combinatorics of monomial Cremona maps, Math. Comp., 81 (2012) 1857-1867.

(c.7) A. Doria, S. H. Hassanzadeh and A. Simis , A characteristic free criterion of birationality, Advances in Math., 230(2012), 390-413.

(c.8) ) B. Costa and A. Simis, New constructions of Cremona maps, Math. Res. Lett. 20 (2013), 629-645.

(c.9) Z. Ramos and A. Simis, Symbolic powers of perfect ideals of codimension 2 and birational maps, J. Algebra, 413 (2014)153-197.

(c.10) I. Pan and A. Simis, Cremona maps of de Jonquières type, Canadian J. Math., 67 (2015), 923-941.

(c.11) M. Mostafazadehfard and A. Simis, Homaloidal determinants, J. Algebra, 450 (2016), 59-101.

(c.12) Z. Ramos and A. Simis, Homaloidal nets and ideals of fat points I, LMS Journal of Computation and Mathematics, 19(2016), 54-77.

(c.13) , S. H. Hassanzadeh and A. Simis , Bounds on degrees of birational maps with arithmetically Cohen{Macaulay graphs,J. Algebra, 478 (2017), 220-236.

(c.14) N. Botbol, L. Buse, M. Chardin, S. H. Hassanzadeh, A. Simis and Q. H. Tran, Effective Criteria for Bigraded BirationalMaps, J. Symb. Comp. 81 (2017), 69-87.

1 List of the submitted publications (with a maximum number of 20) in addition to those listed atpoint 1.1. For each publication and/or set of publications, the candidate is required to brieflydescribe his/her contribution, their scientific/technical significance and individual importance,the overall impact of the results in the international scientific community.

A rough overall description of my scientific trajectory goes as follows:

First period (1973-1980) Projective modules, steps in algebraic geometry

Projective modules over certain rings and the existence of cyclic basis, J. Algebra 18 (1971), 468–476.

Projective moduli and maximal spectra of certain quotient rings, Trans. Amer. Math. Soc. 170 (1972), 125–136.

On the cancellation problem for projective varieties, Comm. in Algebra 2 (1974), 535–557

Projective modules over R[X1, ...,Xn], R a Prüfer domain (with Y. Lequain), J. Pure Appl. Algebra 18 (1980), 65–71.

Second period (1981-1989) Free resolutions and homological tools

A complex that resolves the ideal of minors having n-1 columns in common (with J. F. Andrade), Proc. Amer. Math. Soc. 81 (1981), 217–219.

The syzygies of the conormal module (with W. Vasconcelos), Amer. J. Math. 103 (1981), 203–224.

On the dimension and integrality of symmetric algebras (with W. Vasconcelos), Math. Z. 177 (1981), 341–358.

On the arithmetic and homology of algebras of linear type (with J. Herzog and W. Vascon-celos), Trans. Amer. Math. Soc. 283 (1984), 661–683.

Symmetric algebras of modules arising from a fixed submatrix of a generic matrix (with W. Bruns), J. Pure Appl. Algebra 49 (1987), 227–245.

Reduced normal cones are domains (with C. Huneke and W. Vasconcelos), in Invariant Theory, Proceedings (Eds: R. Fossum, W. Haboush, M. Hochster and V. Lakshmibai), Contemp. Math. Vol. 88 (1989), 95–101.

Third period (1990-1999) Rees algebras

Arithmetic of normal Rees algebras (with J. Herzog and W. Vasconcelos), J. Algebra 143(1991), 269–294.

Blow-up of straightening-closed ideals in Hodge algebras (with W. Bruns and N. V. Trung), Trans. Amer. Math. Soc. 326 (1991), 507–528.

Cohen–Macaulay Rees algebras and degrees of polynomial relations, (with B. Ulrich and W. Vasconcelos), Math. Annalen 301 (1995), 421–444.

Tangent star cones, (with B. Ulrich and W. Vasconcelos), J. reine angew. Math., 483 (1997), 23–59.

Fourth period (2000- to present) Algebraic versions of geometric constructions

On the ideal of an embedded join, (with B. Ulrich), J. Algebra 226 (2000), 1-14.

On birational maps and Jacobian matrices, (with F. Russo), Compositio Math., 126 (2001), 335–358.

The Fitting ideal problem, (with B. Ulrich), Bull. London Math. Soc., 41 (2009) 79–88.

The Aluffi algebra, (with A. Nejad), J. of Singularities, 3 (2011), 20–47.

Homology of homogeneous divisors, (with S. Tohaneanu), Israel J. Math, 200 (2014), 449-487.

Homaloidal determinants, (with M. Mostafazadehfard), J. Algebra, 450 (2016), 59-101.

1 Complete list of all the significant publications of the candidate, including those listed at points1.1 and 1.2 (to be attached to the end of the Curriculum).

(Complete publication list in a PDF file is enclosed)

1. Coordination of research and technology transfer groups and projects.

1. Coordination and management of research groups, possibly with international relationshipsand collaborations; explicit mention of the number and of the type of PhD and Post-Docstudents, of whom the candidate has been the academic supervisor;

a) Coordinator of a regional Research Group in Commutative Algebra andComputational Algebra (url), since 1982. The group has presently about (no.) members,senior and recent PhD’s. It is an official group recognized by CNPQ (Brazilian NationalResearch Council)

b) Founder member of nationwide research group (1997) under the name ExcellenceGroup in Commutative Algebra and Algebraic Geometry (ALGA). The group wasselected in a Program of fierce national competition in all areas of science. A drivingforce of the group activity is the establishment of an annual or bi-annual meeting –called ALGA Meeting. These meetings have a high level and a large internationalparticipation.

c) 12 (twelve) PhD advisees and 4 (four) post-docs, all in the field of mathematics, withemphasis in commutative algebra/algebraic geometry. All of them are presently fullyemployed in Brazilian Universities (one in an Iranian University).

d) National and international collaborators: J. F. Andrade, P. Brumatti, R. Burity, B.Costa, R. Cunha, A. V. Doria, Y. Lequain, D. Levcovitz, Z. Ramos (Brazil); C. Huneke,G. Kennedy, C. Polini, K. Smith, S. Toh˘aneanu, B. Ulrich, W. Vasconcelos (USA); W.Bruns, J. Herzog (Germany); M. Morales, M. Chardin, L. Busé (France); C. Ciliberto,F. Russo, G. Valla (Italy); P. Gimenez, I. Bermejo (Spain); J. Martínez-Bernal, C.Renteria, R. Villarreal, C. E. Vivares (Mexico); K. Raghavan (India), G. Jiang (China);N. V. Trung (Vietnam); J. Hong (Korea); M. Garrousian, H. Hassanzadeh, M.Mostafazadehfard, A. Nejad, R. Zaare-Nahandi (Iran)

2. Scientific responsibility (Principal Investigator) of competitive National and Internationalresearch projects, awarded through a peer-review process.

1. Project for bilateral scientific collaboration NSF/CNPq (principal co-investigator: W.Vasconcelos, Rutgers U., USA), 1989–912. Project for bilateral scientific collaboration NSF/CNPq (principal co-investigator: D.Eisenbud, Brandeis U., USA), 1991–1994.3. Project for bilateral scientific collaboration NSF/CNPq (principal co-investigator: B. Ulrich,Michigan State U., USA), 1994–1997.4. Project for bilateral scientific collaboration NSF/CNPq (principal co-investigators: B. Ulrich,Michigan State U., USA, and W. Vasconcelos, Rutgers U., USA), 1998–2000.

2. Scientific responsibility of National and International research projects, ruled throughpartnership agreements with companies and/or public private bodies, which are leaders in theirown sector.

1. Ubiquity of Blowup Algebras: a US-Brazil Visit Program (co-investigators: A. Corso (U.Kentucky, USA) and C. Polini (U. Notre Dame, USA)), 2006–2008.

2. Effective Methods in Commutative Algebra and Algebraic Geometry, Dirección General deInvestigación del Ministerio de Educación y Ciencia, Spain (co-investigators: I. Bermejo (U.La Laguna, Tenerife) and P. Gimenez (U. Valladolid, Spain), 2007–2010.

3. Effective Methods in Commutative Algebra and Algebraic Geometry, Dirección General deInvestigación del Ministerio de Ciencia e Innovaci´on, Spain (co-investigators: I. Bermejo(U. La Laguna, Tenerife) and P. Gimenez (U. Valladolid, Spain), 2011–2013.

4. Cooperation en Algebre Commutative, under the Interchange Program Brazil-France(co-investigators: M. Chardin (Paris VI) and L. Busé (Nice-INRIA)), 2001, 2003, 2008, 2010, 2012

5. Geometry of Syzygies of Rational Maps (SYRAM) 2015-2016 Regional Program MATH-AmSud, Brazil-France-Argentine (co-investigators: M. Chardin (Paris VI), L. Busé (Nice-INRIA), H. Hassanzadeh (UFRJ, Rio), N. Botbol (UBA, Ar)).

3. Outcomes obtained in the field of technology transfer, in terms of participation in start-upsand spin-offs, development, use and commercialization of patents/licenses.

3. National and international reputation and professional activity for the scientific community

Editorship of Journals with international reputation (in the role of Editor in Chief – EIC), editorship of bookseries, encyclopedias and essays of recognized prestige.

Commutative Algebra, Proceedings: Salvador 1988 (W. Bruns, A. Simis, Eds.), Lecture Notes inMathematics Vol. 1430, Springer–Verlag, Berlin Heidelberg New York London Paris Tokyo, 1990

Commutative Algebra, Proceedings: Trieste 1992 (A. Simis, N. V. Trung and G. Valla, Eds.), World Scientific, Singapore, 1994.

Participation in the Editorial Board of Journals with international reputation (in the role of Associate Editoror equivalent), participation in the Editorial Board of book series, encyclopedias and essays of recognizedprestige.

Member of Editorial Board: Bulletin of the Brazilian Mathematical Society, 1984-88;

Communications in Algebra, 1981-84; Matematica Contemporânea (Brazilian Mathematical Society), 1991-1997; Annals of the Brazilain Academy of Sciences, 2008- present.

Direction of highly qualified international institutions or research centers.

Official research and/or teaching and/or fellowship roles, positions as Scholar/ Visiting Professor ininternational highly qualified universities and research centers.

Ford Foundation (USA): Post-doc Fellowship 1972/1973J. S. Guggenheim Foundation (Latin America Section): Fellow 1976Japan Society for Promotion of Science (Japan): Invited visitor 1990Max-Planck-Institut f ur Mathematik (Germany): Invited visitor 1991�Istituto Nazionale di Alta Matematica (GNSAGA) (Italy): Invited visitor 1996, 2003, 2007, 2013Fulbright Senior Visitor Fellowship (USA): Purdue University, 2008CNRS Poste Rouge (France): Institut de Mathématiques de Jussieu, Paris, 2012CAPES (Brazil): Senior Visiting Researcher, 2012-2014; renewed 2015-2016FAPESP (Brazil): Senior Visiting Researcher, 2016-2017CNPq (Brazil): Research grant (1A: highest classification), since 1982

Offices in the Governing bodies of national and international scientific societies.

1. President of the Brazilian Mathematical Society, 1985–1987

2. Commission for Development and Exchange of the International Mathematical Union, 1986-90.

3. TWAS Membership Committees, term 1995-1998; second term 1999-2000. Committee for the TWASPrize in Mathematics, term 2001-2003; second term 2004-2006; third term 2007-2009; fourth term 2010-2012.

4. Member of the Committee for the French Brazilian Cooperation in Mathematics, since 2001

Participation in Academies with international reputation in the research field of the candidate.

Member of the Brazilian Academy of Sciences, since 1980Member of the Academy of Sciences of Developing Countries (TWAS), since 1993.

Prizes and awards awarded to the candidate for his/her scientific activity and project activity in the AcademicFields, where this is appropriate.

National Research Council (Canada): 1968/69Canada Council (Canada): 1969/72

National Medal for Scientic Merit, Ministry of Science and Technology (Brazil) 2002 (promoted in 2005 tothe level of Grão-Cruz, highest possible)

Participation in international conferences, as a distinguished invited speaker; participation in the scientificcommittees of International Conferences.

(A complete list in PDF is enclosed)

• Management and organisation of exhibitions, compositions, drawings, design, hand-crated items,prototypes, artwork and their projects, databases and software, thematic maps, for the AcademicFields, where this is appropriate.

If the candidate has obtained the National Scientific Qualification in more than one Academic Field thismust be considered a qualifying element, for properly evaluating the scientific reputation of thecandidate.

2. Teaching activity

Formal responsibility of Bachelor’s and Master of Science’s degree courses in Italian and/orforeign universities.

A First Course in Galois Theory, Introduction to Algebra, Dierential and Integral Calculus , Theory of Rings, Advanced Calculus, Linear Algebra, Algebraic Plane Curves, Graph Theory: anIntroduction, Theory of Equations and of Groups, Introduction to Computer Algebra, Introduction to Algebraic Combinatorics, Part I: Graphs, Introduction to Algebraic Combinatorics, Part II: Theory of Splines and Approximation Theory, Linear Algebra: a second course

Formal responsibility of PhD courses in Italian and/or foreign universities.

Galois Theory, Commutative Algebra, Topology, Algebraic Topology, Algebraic Geometry, Complex Variables: a Second Course, Topics in Algebra, Theory of Groups and Rings, Introduction to Algebraic Geometry (using Computer Algebra), Modular Functions: an Introduction, A survey of Graded Algebras in Commutative Algebra and Algebraic Geometry, Topics in Toric Varieties, Algebraic and Abelian Functions: an Introduction, Topics in Commutative Algebra (with emphasis in homological methods)

Formal responsibility of Specializing Master’s courses and Life Learning courses in Italianand/or foreign universities in PhD courses.

2. Institutional offices and roles in Italian and foreign Universities and/or public and privateinstitutions with scientific and/or technology transfer aims

Institutional offices and roles in the Governing bodies (Academic Senate, Board of Governors)of Italian and/or foreign universities.

Institutional offices and roles in teaching and research structures (Departments, Faculties,Schools, Colleges) and other service activities developed in Italian and Foreign Universities.

Chair of Graduate Studies in Mathematics, Universidade Federal de Pernambuco, 1982-84;

Chair of Graduate Studies in Mathematics, Universidade Federal da Bahia, 1989-93;

Chair of Graduate Studies in Mathematics, Universidade Federal de Pernambuco, 1998-2002

Management roles in Universities, as part of Faculty duties.

Offices in the Governing bodies, Board of Governors, Scientific Advisory Boards of public andprivate institutions, with scientific and technology transfer aims.

Place and date Recife, 15 February 2018

Research project: list of references

1. J. Barshay, Graded algebras of powers of ideals generated by A-sequences, J.Algebra 25 (1973), 90–99.

2. A. Beauville, Determinantal hypersurfaces. Mich. Math. J. 48 (2000), 39-64.

3. A. Beauville, Ulrich bundles on abelian surfaces. Proc. Amer. Math. Soc. 144(2016), 4609-4611

4. A. Bernardi, Ideals of varieties parameterized by certain symmetric tensors, J.of Pure and Applied Algebra, 212 (2008) 1542–1559.

5. A. Bernardi, J. Brachat, P. Comon and B. Mourrain, General tensor decompo-sition, moment matrices and applications, J. Symbolic Comp., in InternationalSymposium on Symbolic and Algebraic Computation (Eds. I. Emiris and E.Schost, 52 (2013) pp 51–71.

6. J.P. Brennan, J. Herzog and B. Ulrich, Maximally generated Cohen–Macaulaymodules,Math.Scand. 61 (1987), 181–203

7. W. Bruns and A. Conca. Grobner bases and determinantal ideals, in Com-mutative algebra, singularities and computer algebra (Sinaia, 2002), pp. 9?66,NATO Sci. Ser. II Math. Phys. Chem., 115. Kluwer Acad. Publ., Dordrecht,2003.

8. W. Bruns and U. Vetter, Determinantal Rings, LNM No. 1327, Springer, 1988.

9. G. Casnati, Special Ulrich bundles on non-special surfaces with pg = q = 0.arXiv:1609.07915

10. C. Ciliberto, F. Russo and A. Simis, Homaloidal hypersurfaces and hypersur-faces with vanishing Hessian, Advances in Math., 218 (2008) 1759–1805.

11. A. Conca, Ladder determinantal rings, J. Pure Appl. Algebra 98 (1995), 119–134.

12. P. Corsini, Sulle potenze di un ideale generato da una A-successione, Rend.Sem. Mat. Univ. Padova 39 (1967), 190–204.

13. R. Cunha, Z. Ramos and A. Simis, Degenerations of the generic square matrix.Polar map and determinantal structure, arXiv:1610.07681v1 [math.AC] 24 Oct2016.

14. A. Doria, H. Hassanzadeh and A. Simis, A characteristic free criterion of bira-tionality, Advances in Math., 230 (2012), 390–413.

15. J. A. Eagon and D.G. Northcott, Ideals defined by matrices and a certain com-plex associated with them, Proc. Roy. Soc. London Ser. A 269 (1962),188–204.

16. J. A. Eagon, Examples of Cohen-Macaulay rings which are not Gorenstein,Math. Z. 109 (1969), 109–111.

17. D. Eisenbud, On the resiliency of determinantal ideals, Proceedings of the U.S.-Japan Seminar, Kyoto 1985. In Advanced Studies in Pure Math. II, Commu-tative Algebra and Combinatorics, ed. M. Nagata and H. Matsumura, North-Holland (1987) 29–38.

18. D. Eisenbud, Linear sections of determinantal varieties, Amer. J. Mathematics,110 (1988), 541–575.

19. D. Eisenbud, The Geometry of Syzygies: A Second Course in Algebraic Geom-etry and Commutative Algebra, GTM No. , Springer 2005.

20. D. Eisenbud and J. Harris, On varieties of minimal degree, in: Algebraic Ge-ometry, Bowdoin, 1985, in: Proc. Sympos. Pure Math., vol. 46, 1987, pp.3–13.

21. D. Eisenbud and F.-O. Schreyer, Resultants and Chow forms via exterior syzy-gies. J. Amer. Math. Soc. 16 (2003), 537-579.

22. L. Goddard, Bases for the prime ideals associated with certain classes of alge-braic varieties, Proc. Cambridge Philos. Soc. 39 (1943), 35–48.

23. S. Goto, K. Ozeki, R. Takahashi, K-I. Watanabe and K-I. Yoshida, Ulrich idealsand modules, arXiv:1206.3197v1 [math.AC] 14 Jun 2012

24. J. Harris, Algebraic Geometry, GTM No. 133, Springer, 1992.

25. M. Hazewinkel and C. F. Martin, A short elementary proof of Grothendieck1stheorem on algebraic vector bundles over the projective line, J. Pure AppliedAlgebra 25 (1982) 207–21.

26. J. Herzog, A. Simis and W. Vasconcelos, Koszul homology and blowing-uprings, in Commutative Algebra, Proceedings of the Trento Conference (Sil-vio Greco and Giuseppe Valla, Eds.), Lecture Notes in Pure and Applied Math-ematics 84, Marcel-Dekker, New York, (1983), 79-169.

27. J. Herzog and M. Kuhl, Maximal Cohen-Macaulay modules over Gorensteinrings and Bourbaki-sequences, Commutative algebra and combinatorics (Kyoto,1985), 65?92, Adv. Stud. Pure Math., 11, North-Holland, Amsterdam, 1987.

28. J. Herzog and N. N. Trung, Grobner bases and multiplicity of determinantaland Pfaffian ideals, Adv. in Math. 96 (1992), 1–37.

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29. J. Herzog, B. Ulrich and J. Backelin, Linear maximal Cohen-Macaulay modulesover strict complete intersections. J. Pure Appl. Algebra 71 (1991), 187-202.

30. Hochster, M. and Eagon, J., A class of perfect determinantal ideals, Bull. Amer.Math. Soc. 76 (1970), 1026–1029 (short)

31. Hochster, M., Eagon, J.A., Cohen-Macaulay rings, invariant theory, and thegeneric perfection of determinantal loci, Amer. J. Math. 93 (1971), 1020–1058.

32. Hochster, M., Rings of invariants of tori, Cohen-Macaulay rings generated bymonomials, and polytopes, Ann. of Math. 96 (1972), 318–337.

33. Hochster, M., Grassmannians and their Schubert subvarieties are arithmeticallyCohen-Macaulay, J. Algebra 25 (1973), 40–57.

34. Hochster, M., Invariant theory of commutative rings, in: Montgomery, S. (Ed.),“Group actions on rings,” Contemp. Math. 43, Amer. Math. Soc., Providence,Rh.I., 1985, pp. 161–180.

35. Hochster, M., Roberts, J.L., Rings of invariants of reductive groups acting onregular rings are Cohen-Macaulay, Adv. Math. 13 (1974), 115–175.

36. J. Hong, A. Simis and W. Vasconcelos, Extremal Rees algebras, J. Commut.Algebra, 5 (2013), 231–267

37. K. Hulek, S. Katz, F.-O. Schreyer, Cremona transformations and syzygies,Math. Z. 209 (1992), 419–443.

38. J. M. Landsberg and G. Ottaviani, Equations for secant varieties of Veroneseand other varieties, Ann. di Matematica Pura ed Applicata, 92 (2013) 569–606.

39. C. Meadows, Linear systems cut out by quadrics on projections of varieties, J.Algebra, 90 (1984) 198–207.

40. A. Micali, Sur des ideaux engendres par des determinants, Seminaire Dubreil–Pisot, Algebre et Theorie des Nombres, Anee 17, Nos. 1 et 18, 1963-64.

41. M. Mostafazadehfard, Hankel and sub-Hankel determinants – a de-tailed study of their polar ideals, PhD Thesis, Universidade Federal dePernambuco (Recife, Brazil), July 2014.

42. M. Mostafazadehfard and A. Simis, Homaloidal determinants, J. Algebra 450(2016), 59-?101.

43. M. Mostafazadehfard and A. Simis, Corrigendum to “Homaloidal determinants”,450 (2016), 59?-101.

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44. H. Narasimhan, The Irreducibility of Ladder Determinantal Varieties, J. Alge-bra 102 (1986), 162–185.

45. D. G. Northcott, Some remarks on the theory of ideals defined by matrices,Quart. J. Math. Oxford Ser. (2) 14 1963 193–204.

46. A. Parolin, Varieta Secanti alle Varieta di Segre e di Veronese e Loro Appli-cazioni, Tesi di dottorato, Universita di Bologna, A.A. 2003/2004

47. M. Pucci, The Veronese variety and catalecticant matrices, J. Algebra, 202(1998) 72–95.

48. Z. Ramos and A. Simis, Symbolic powers of perfect ideals of codimension 2 andbirational maps, J. Algebra, 413 (2014) 153–197.

49. Z. Ramos and A. Simis, On catalecticant perfect ideals of codimension 2, Journalof Algebra and Its Applications 14 (2015) 1550031/1-12.

50. Z. Ramos and A. Simis, Homaloidal nets and ideals of fat points I, LMS Journalof Computation and Mathematics, 19 (2016), 54–77.

51. Z. Ramos and A. Simis, Homaloidal nets and ideals of fat points II, Intern. J.Algebra and computation, 27 (2017) 677–715.

52. T. G. Room, The Geometry of Determinantal Loci, Cambridge U. Press, 1938.

53. F. Russo and A. Simis, On birational maps and Jacobian matrices, CompositioMath. 126 (2001), 335–358.

54. F. Russo, On the Geometry of Some Special Projective Varieties, Lecture Notesof the Unione Matematica Italiana, Springer 2015.

55. B. Segre, Bertini forms and Hessian matrices, J. London Math. Soc. 26 (1951),164–176.

56. J.G. Semple and J. A. Tyrrell, Specialization of Cremona Transformations,Mathematika 15 (1968), 171–177.

57. A. Simis, Cremona transformations and some related algebras, J. Algebra 280(2004), 162–179.

58. A. Simis, B. Ulrich and W. Vasconcelos, Jacobian dual fibrations, Amer. J.Math. 115 (1993), 47–75.

59. B. Ulrich, Gorenstein rings and modules with high numbers of generators. Math.Z. 188 (1984), 23–32

60. J. Watanabe, Hankel matrices and Hankel ideals, Queen’s Papers in Pure andApplied Mathematics X (102) (1996), 351–363.

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PUBBLICAZIONI

Publication

February 3, 2018

1. On ℵα–Noetherian modules, Canadian Math. Bull. 13 (1970), 245-247.

2. Projective modules over certain rings and the existence of cyclic basis, J. Algebra 18(1971), 468-476.

3. Projective moduli and maximal spectra of certain quotient rings, Trans. Amer. Math.Soc. 170 (1972), 125-136.

4. On the Krull-Schmidt theorem for orders over valuation rings, Anais Acad. Bras.Ciencias 45 (1973), 45-47.

5. Residual finiteness of commutative rings and schemes, Can. J. Math. 25 (1973),960-972.

6. On the cancellation problem for projective varieties, Comm. in Algebra 2 (1974),535-557.

7. On going-down for monoidal transforms, Bol. Soc. Bras. Mat. 4 (1975), 111-119.

8. A note on cancellation of polarized varieties, Anais Acad. Bras. Ciencias 48 (1976),365-368.

9. A note on the Koszul homology of ordinary singularities, Bol. Soc. Bras. Mat. 8(1977), 149-159.

10. Koszul homology and its syzygy-theoretic part, J. Algebra 55 (1978), 28-42.

11. Projective modules over R[X1, . . . , Xn], R a Prufer domain (with Y. Lequain), J. PureAppl. Algebra 18 (1980), 165-171.

12. A complex that resolves the ideal of minors having n − 1 columns in common (with J.F. Andrade), Proc. Amer. Math. Soc. 81 (1981), 217-219.

13. The syzygies of the conormal module (with W. Vasconcelos), Amer. J. Math. 103(1981), 203-224.

14. On the dimension and integrality of symmetric algebras (with W. Vasconcelos), Math.Z. 177 (1981), 341-358.

15. On the grade of some ideals (with J. F. Andrade and W. Vasconcelos), ManuscriptaMath. 74 (1981), 241-254.

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16. Approximation complexes of blowing-up rings (with J. Herzog and W. Vasconcelos), J.Algebra 74 (1982), 466-493.

17. Approximation complexes of blowing-up rings, II (with J. Herzog and W. Vasconcelos),J. Algebra 82 (1983), 53-83.

18. Koszul homology and blowing-up rings, (with J. Herzog and W. Vasconcelos), in Com-mutative Algebra, Proceedings of the Trento Conference (Silvio Greco and GiuseppeValla, Eds.), Lecture Notes in Pure and Applied Mathematics 84, Marcel-Dekker, New York, (1983), 79-169.

19. On the arithmetic and homology of algebras of linear type (with J. Herzog and W.Vasconcelos), Trans. Amer. Math. Soc. 283 (1984), 661-683.

20. The canonical module of the Rees algebra and the associated graded ring of an ideal(with J. Herzog and W. Vasconcelos), J. Algebra 105 (1986), 285-302.

21. On ideals of minors fixing a submatrix (with J. F. Andrade), J. Algebra 102 (1986),246-259.

22. Symmetric algebras of modules arising from a fixed submatrix of a generic matrix (withW. Bruns), J. Pure Appl. Algebra 49 (1987), 227-245.

23. Multiplicities and Betti numbers of homogeneous ideals, in Space Curves, Proceedings,Rocca di Papa (Roma 1985), Lecture Notes in Mathematics, No. 1266, Springer-Verlag, 1987, 232–250.

24. Normal Rees algebras (with P. Brumatti and W. Vasconcelos), J. Algebra 112 (1988),26–48.

25. The Krull dimension and integrality of symmetric algebras (with W. Vasconcelos), ManuscriptaMath. 61 (1988), 63–78.

26. The divisor class group of ordinary and symbolic blow-ups (with N. V. Trung), Math.Z. 198 (1988), 479–491.

27. Reduced normal cones are domains (with C. Huneke and W. Vasconcelos), in InvariantTheory, Proceedings (Eds: R. Fossum, W. Haboush, M. Hochster and V. Lakshmibai),Contemp. Math. Vol. 88 (1989), 95–101.

28. Free resolutions of certain codimension three perfect ideals (with J. F. Andrade), Arch.Math. 52 (1989).

29. Topics in Rees algebras of special ideals, in Commutative Algebra, Proceedings, Sal-vador, Brazil, August 1988 (Eds. W. Bruns and A. Simis), Lecture Notes in Mathe-matics, Springer-Verlag, No. 1430 , Heidelberg New York, 1990, 98–114.

30. Arithmetic of normal Rees algebras (with J. Herzog and W. Vasconcelos), J. Algebra143 (1991), 269–294.

31. Blow-up of straightening-closed ideals in Hodge algebras (with W. Bruns and N. V.Trung), Trans. Amer. Math. Soc. 326 (1991), 507–528.

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32. The symbolic powers of monomial curves in P3 lying on a quadric (with M. Morales),Comm. in Algebra 20 (1992), 1109–1121.

33. Jacobian dual fibrations (with B. Ulrich and W. Vasconcelos), Amer. J. Math. 115(1993), 47–75.

34. Arithmetically Cohen-Macaulay monomial curves in P3 (with M. Morales), Comm. inAlgebra 21(3) (1993), 951–961.

35. The analytic spread of the ideal of a monomial curve in 3-space, (with Ph. Gimenez andM. Morales), in Computational Algebraic Geometry, Nice 1992 (Editors: FredericEyssette, Andre Galligo), Progress in Math. 109 , Birkhauser Boston • Basel •Berlin, 1993, 77–90.

36. Canonical modules and the factoriality of symmetric algebras, (with B. Ulrich and W.Vasconcelos), in Rings Extensions and Cohomology, Proceedings of a Conferencein honour of Daniel Zelinsky (Andy R. Magid, Ed.), Lecture Notes in Pure andApplied Mathematics 159, Marcel-Dekker, New York, 1994, 213–221.

37. The ideal theory of graphs, (with W. Vasconcelos and R. Villarreal), J. Algebra 167(2)(1994), 389–416.

38. Specialization of Rees algebra with a view toward tangent star algebras, (with G. Kennedyand B. Ulrich), in Commutative Algebra, Proceedings, ICTP, Trieste, September1992, World Sc., Singapore 1994, 130–139.

39. Algebraic aspects of tangent cones, in XII Escola de Algebra, Proceedings of Dia-mantina D. Avritzer and M. Spira, Eds.), Brazil, July 1992, Matematica Contem-poranea, vol. 7, 1994, pp. 71–127.

40. L’analytic spread de l’ideal de definition d’une variete monomiale de codimension deuxest toujours inferieur ou egal a trois, (with Ph. Gimenez and M. Morales), C. R. Acad.Sci. Paris, t. 319, Serie I (1994), 703–706.

41. The module of derivations of a Stanley–Reisner ring, (with P. Brumatti), Proc. Amer.Math. Soc. 123 (1995), 1309-1318.

42. Cohen–Macaulay Rees algebras and degrees of polynomial relations, (with B. Ulrich andW. Vasconcelos), Math. Annalen 301 (1995), 421–444.

43. Multiplicities of blow-ups of homogeneous quadratic sequences, (with K. Raghavan), J.Algebra 175 (1995), 537–567.

44. Effective computation of symbolic powers by jacobian matrices, Comm. in Algebra,24 (1996), 3561–3565.

45. Combinatorics of a certain ideal in the Segre coordinate ring , (with P. Brumatti andPh. Gimenez ), Proc. Amer. Math. Soc., 124 (1996), 3285–3292.

46. Tangent star cones, (with B. Ulrich and W. Vasconcelos), J. reine angew. Math.,483 (1997), 23–59.

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47. The integral closure of subrings associated to graphs, (with W. V. Vasconcelos and R.Villarreal), J. Algebra, 199 (1998), 281–289.

48. On the jacobian module associated to graph, Proc. Amer. Math. Soc., 126 (1998),989–997.

49. The diagonal subalgebra of a blowup algebra, (with N. V. Trung and G. Valla), J. PureAppl. Algebra 125 (1998), 305–328.

50. On the Gauss algebra associated to a rational map Pd → Pn, (with P. Brumatti and P.Gimenez ), J. Algebra 207 (1998), 557–571.

51. The analytic spread of certain toric varieties of codimension two, (with Ph. Gimenezand M. Morales), Results in Mathematics 35, (1999), 250–259.

52. On the ideal of an embedded join, (with B. Ulrich), J. Algebra 226 (2000), 1-14.

53. Higher relative primitive ideals, (with G. Jiang), Proc. Amer. Math. Soc. 129(2001), 647–655.

54. Codimension, multiplicities and integral extensions, (with B. Ulrich and W. Vasconce-los), Math. Proc. Camb. Phil. Soc. 130, (2001), 237–257.

55. On birational maps and Jacobian matrices, (with F. Russo), Compositio Math., 126(2001), 335–358.

56. A note on the Nakai conjecture (with P. Brumatti, Y. Lequain and D. Levcovitz ), Proc.Amer. Math. Soc., 130 (2002), 15–21.

57. An algebraic proof of Zak’s inequality for the dimension of the Gauss image, (with K.Smith and B. Ulrich), Math. Z. 241 (2002), 871–881.

58. Constraints for the normality of monomial subrings and birationality, (with R. Villar-real), Proc. Amer. Math. Soc., 131 (2003), 2043-2048.

59. Two differential themes in characteristic zero, in Topics in Algebraic and Noncom-mutative Geometry, Proceedings in Memory of Ruth Michler (Eds. C. Melles, J.-P.Brasselet, G. Kennedy, K. Lauter and L. McEwan), Contemporary Mathematics324, Amer. Math. Soc., Providence, RI, 2003, 195–204.

60. Rees algebras of modules, (with B. Ulrich and W. Vasconcelos), Proc. London Math.Soc., 87 (3) (2003), 610–646.

61. Cremona transformations and some related algebras, J. Algebra 280 (1) (2004), 162–179.

62. Differential idealizers and algebraic free divisors, in Commutative Algebra: Geo-metric, Homological, Combinatorial and Computational Aspects, LectureNotes in Pure and Applied Mathematics (Eds. A. Corso, P. Gimenez, M. V. Pintoand S. Zarzuela), Chapman & Hall/CRC, Volume 244 (2005) 211–226.

63. Linear syzygies and birational combinatorics, (with R. Villarreal), Results in Math.,48 (2005), 326–343.

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64. The depth of the Jacobian ring of a homogeneous polynomial in three variables, Proc.Amer. Math. Soc., 134 (2006), 1591–1598.

65. On the Homology of Two-Dimensional Elimination, (with J. Hong and W. Vasconcelos),J. Symb. Comp. 43 (2008) 275–292.

66. Homaloidal hypersurfaces and hypersurfaces with vanishing Hessian, (with C. Cilibertoand F. Russo), Advances in Math., 218 (2008) 1759–1805.

67. Polar syzygies in characteristic zero: the monomial case (with I. Bermejo and P. Gimenez ),J. Pure Appl. Algebra, 213 (2009) 1–21.

68. The Fitting ideal problem, (with B. Ulrich), Bull. London Math. Soc., 41 (2009)79–88.

69. Elimination and nonlinear equations of Rees algebras, (with L. Buse and M. Chardin),J. Algebra, 324 (2010) 1314–1333.

70. Algebraic methods for parameterized codes and invariants of vanishing ideals over finitefields, (with C. Renteria and R. Villarreal), Finite Fields and their Applications,17 (2011) 81–104.

71. The Aluffi algebra, (with A. Nejad), J. of Singularities, 3 (2011), 20–47.

72. Cremona maps defined by monomials (with B. Costa), J. Pure Appl. Algebra, 216(2012), 212–225.

73. Combinatorics of monomial Cremona maps (with R. Villarreal), Math. Comp., 81(2012) 1857–1867.

74. Tangent algebras (with B. Ulrich and W. Vasconcelos), Trans. Amer. Math. Soc.,364 (2012), 571–594.

75. A characteristic free criterion of birationality, (with A. Doria and S. H. Hassanzadeh),Advances in Math., 230 (2012), 390–413.

76. The equations of almost complete intersections, (with J. Hong and W. Vasconcelos),Bull. Braz. Math. Soc. (New Series), 43 (2012), 171–199.

77. Plane Cremona maps: saturation and regularity of the base ideal, (with S. H. Hassan-zadeh), J. Algebra, 371 (2012), 620–652.

78. Syzygies of differential of forms, (with I. Bermejo and P. Gimenez), J. Algebra, 375(2013), 41–58.

79. Extremal Rees algebras, (with J. Hong and W. Vasconcelos), J. Commut. Algebra,5 (2013), 231–267;

80. New constructions of Cremona maps, (with B. Costa), Math. Res. Lett. 20 (2013),629–645.

81. Homology of homogeneous divisors, (with S. Tohaneanu), Israel J. Math, 200 (2014),449–487.

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