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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)

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, SEP 2018. Web of Science Citations: 0.
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, JAN 2018. Web of Science Citations: 2.

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