Reflexive and torsion free sheaves on projective spaces

• Grant number: 16/14376-0
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate (Direct)
• Start date: November 01, 2016
• End date: October 31, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Marcos Benevenuto Jardim
• Grantee: Charles Aparecido de Almeida
• Supervisor: Rosa Maria Miro-Roig
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Institution abroad: Universitat de Barcelona (UB), Spain
• Associated to the scholarship: 14/08306-4 - Vector bundles over projective spaces, BP.DD

Abstract

The main goal of this research project is to provide a monad-like description to reflexive sheaves on projective spaces, which will allow to obtain bounds to the number of components of the moduli space of semistable torsion free sheaves with small Chern classes on projective space. (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)

ALMEIDA, C.; JARDIM, M.; TIKHOMIROV, A. S.; TIKHOMIROV, S. A.. New moduli components of rank 2 bundles on projective space. SBORNIK MATHEMATICS, v. 212, n. 11, p. 1503-1552, NOV 1 2021. (16/14376-0, 14/08306-4, 18/21391-1, 16/03759-6)

ALMEIDA, CHARLES; ANDRADE, ALINE V.. Lefschetz property and powers of linear forms in K[x, y, z]. FORUM MATHEMATICUM, v. 30, n. 4, p. 857-865, JUL 2018. (16/14376-0, 14/08306-4)