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Monads on projective varieties, syzygy bundles and Gorenstein Artin algebras

Grant number: 14/12558-9
Support type:Research Grants - Visiting Researcher Grant - International
Duration: October 15, 2014 - May 31, 2015
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Principal researcher:Marcos Benevenuto Jardim
Grantee:Marcos Benevenuto Jardim
Visiting researcher: Pedro Correia Goncalves Macias Marques
Visiting researcher institution: Universidade de Évora, Portugal
Home Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

The research project has three main tasks: 1. to study monads on projective varieties, addressing their existence, whether they are stable sheaves, and if so study their moduli spaces; 2. to study the stability of sencond-order syzygies in the projective space; 3. to work on the conjecture of Bernardi and Ranestad on the cactus rank of a general cubic form. (AU)

Articles published in Agência FAPESP Newsletter about the research grant:
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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
MARCHESI, SIMONE; MARQUES, PEDRO MACIAS; SOARES, HELENA. MONADS ON PROJECTIVE VARIETIES. PACIFIC JOURNAL OF MATHEMATICS, v. 296, n. 1, p. 155-180, . (14/12558-9, 14/00498-1, 17/03487-9)
BERNARDI, ALESSANDRA; JELISIEJEW, JOACHIM; MARQUES, PEDRO MACIAS; RANESTAD, KRISTIAN. On polynomials with given Hilbert function and applications. COLLECTANEA MATHEMATICA, v. 69, n. 1, p. 39-64, . (14/12558-9)

Please report errors in scientific publications list by writing to: cdi@fapesp.br.