Obstruction theory for moduli spaces of framed flags of sheaves on the projective plane

Autor(es)

Von Flach, Rodrigo A. ^[1] ; Jardim, Marcos ^[2] ; Lanza, Valeriano ^[3]

Afiliação do(s) autor(es)

^[1] Univ Fed Reconcavo Bahia, Ctr Ciencias Exatas & Tecnol, Rua Rui Barbosa 710, BR-44380000 Cruz Das Almas, BA - Brazil

^[2] IMECC UNICAMP, Dept Matemat, Rua Sergio Buarque de Holanda 651, BR-13083970 Campinas, SP - Brazil

^[3] IME UFF, Dept Anal, Rua Prof Marcos Waldemar de Freitas Reis S-N, BR-24210201 Niteroi, RJ - Brazil

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF GEOMETRY AND PHYSICS; v. 166, AUG 2021.
• Citações Web of Science: 0

Resumo

In a previous paper, the first two named authors established an isomorphism between the moduli space of framed flags of sheaves on the projective plane and the moduli space of stable representations of a certain quiver. In the present note, we substitute one of the claims made, namely {[}5, Theorem 17], for a weaker claim regarding the existence of unobstructed points in the quiver moduli space. We also extend some of the results of the cited paper, concerning the maximal stability chamber within which the isomorphism mentioned holds, and the existence of a perfect obstruction theory for the quiver moduli space. (C) 2021 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 15/07766-4 - Espaços de módulos de feixes em superfícies de Hirzebruch, geometria de Poisson e sistemas integráveis
• Beneficiário: Valeriano Lanza
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 18/21391-1 - Teoria de calibre e geometria algébrica
• Beneficiário: Marcos Benevenuto Jardim
• Modalidade de apoio: Auxílio à Pesquisa - Temático