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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

New moduli components of rank 2 bundles on projective space

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Author(s):
Almeida, C. [1] ; Jardim, M. [2] ; Tikhomirov, A. S. [3] ; Tikhomirov, S. A. [4]
Total Authors: 4
Affiliation:
[1] Univ Fed Minas Gerais, Dept Math, Belo Horizonte, MG - Brazil
[2] Inst Math Stat & Sci Comp, Dept Math, Campinas - Brazil
[3] Natl Res Univ Higher Sch Econ, Fac Math, Moscow - Russia
[4] Yaroslavl State Pedag Univ, Fac Phys & Math, Yaroslavl - Russia
Total Affiliations: 4
Document type: Journal article
Source: SBORNIK MATHEMATICS; v. 212, n. 11, p. 1503-1552, NOV 1 2021.
Web of Science Citations: 0
Abstract

We present a new family of monads whose cohomology is a stable rank 2 vector bundle on P-3. We also study the irreducibility and smoothness together with a geometrical description of some of these families. These facts are used to construct a new infinite series of rational moduli components of stable rank 2 vector bundles with trivial determinant and growing second Chern class. We also prove that the moduli space of stable rank 2 vector bundles with trivial determinant and second Chern class equal to 5 has exactly three irreducible rational components. (AU)

FAPESP's process: 16/14376-0 - Reflexive and torsion free sheaves on projective spaces
Grantee:Charles Aparecido de Almeida
Support type: Scholarships abroad - Research Internship - Doctorate (Direct)
FAPESP's process: 14/08306-4 - Vector bundles over projective spaces
Grantee:Charles Aparecido de Almeida
Support type: Scholarships in Brazil - Doctorate (Direct)
FAPESP's process: 18/21391-1 - Gauge theory and algebraic geometry
Grantee:Marcos Benevenuto Jardim
Support type: Research Projects - Thematic Grants
FAPESP's process: 16/03759-6 - Moduli spaces of stable objects on the projective space
Grantee:Marcos Benevenuto Jardim
Support type: Scholarships abroad - Research