Instanton sheaves and representaTIONS OF QUIVERS

Autor(es)

Jardim, M. ^[1] ; Silva, D. D. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, IMECC, Dept Matemat, Rua Sergio Buarque de Holanda 651, BR-13083970 Campinas, SP - Brazil

^[2] DMA UFS, Ave Marechal Rondon S-N, Sao Cristovao, Sergipe - Brazil

• Tipo de documento: Artigo Científico
• Fonte: PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY; v. 63, n. 4, p. 984-1004, NOV 2020.
• Citações Web of Science: 0

Resumo

We study the moduli space of rank 2 instanton sheaves on P-3 in terms of representations of a quiver consisting of three vertices and four arrows between two pairs of vertices. Aiming at an alternative compactification for the moduli space of instanton sheaves, we show that for each rank 2 instanton sheaf, there is a stability parameter theta for which the corresponding quiver representation is theta-stable (in the sense of King), and that the space of stability parameters has a non-trivial wall-and-chamber decomposition. Looking more closely at instantons of low charge, we prove that there are stability parameters with respect to which every representation corresponding to a rank 2 instanton sheaf of charge 2 is stable and provide a complete description of the wall-and-chamber decomposition for representation corresponding to a rank 2 instanton sheaf of charge 1. (AU)

• Processo FAPESP: 18/21391-1 - Teoria de calibre e geometria algébrica
• Beneficiário: Marcos Benevenuto Jardim
• Modalidade de apoio: Auxílio à Pesquisa - Temático