ADHM CONSTRUCTION OF PERVERSE INSTANTON SHEAVES

Autor(es)

Henni, Abdelmoubine Amar ^[1] ; Jardim, Marcos ^[2] ; Martins, Renato Vidal ^[3]

Afiliação do(s) autor(es)

^[1] Univ Fed Santa Catarina, Dept Matemat, Florianopolis, SC - Brazil

^[2] Univ Estadual Campinas, IMECC, Dept Matemat, BR-13083970 Campinas, SP - Brazil

^[3] Univ Fed Minas Gerais, ICEx, Dept Matemat, BR-30123970 Belo Horizonte, MG - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Glasgow Mathematical Journal; v. 57, n. 2, p. 285-321, MAY 2015.
• Citações Web of Science: 2

Resumo

We present a construction of framed torsion free instanton sheaves on a projective variety containing a fixed line which further generalises the one on projective spaces. This is done by generalising the so called ADHM variety. We show that the moduli space of such objects is a quasi projective variety, which is fine in the case of projective spaces. We also give an ADHM categorical description of perverse instanton sheaves in the general case, along with a hypercohomological characterisation of these sheaves in the particular case of projective spaces. (AU)

• Processo FAPESP: 11/01071-3 - Feixes em variedades algébricas e representações de quivers
• Beneficiário: Marcos Benevenuto Jardim
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 09/12576-9 - A geometria de estruturas hyperkähler
• Beneficiário: Marcos Benevenuto Jardim
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional