The ADHM variety and perverse coherent sheaves

Autor(es)

Jardim, Marcos ^[1] ; Martins, Renato Vidal ^[2]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Dept Matemat, IMECC, BR-13083970 Campinas, SP - Brazil

^[2] Univ Fed Minas Gerais, Dept Matemat, ICEx, BR-30123970 Belo Horizonte, MG - Brazil

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF GEOMETRY AND PHYSICS; v. 61, n. 11, p. 2219-2232, NOV 2011.
• Citações Web of Science: 3

Resumo

We study the full set of solutions to the ADHM equation as an affine algebraic set, the ADHM variety. We determine a filtration of the ADHM variety into subvarieties according to the dimension of the stabilizing subspace. We compute dimension, and analyze singularity and reducibility of all of these varieties. We also establish a connection between arbitrary solutions of the ADHM equation and coherent perverse sheaves on P(2) in the sense of Kashiwara. (C) 2011 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 05/04558-0 - Simetrias em geometria, topologia e física matemática
• Beneficiário: Alcibiades Rigas
• Modalidade de apoio: Auxílio à Pesquisa - Temático