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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.)

The ADHM variety and perverse coherent sheaves

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Author(s):
Jardim, Marcos [1] ; Martins, Renato Vidal [2]
Total Authors: 2
Affiliation:
[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
Total Affiliations: 2
Document type: Journal article
Source: JOURNAL OF GEOMETRY AND PHYSICS; v. 61, n. 11, p. 2219-2232, NOV 2011.
Web of Science Citations: 3
Abstract

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)

FAPESP's process: 05/04558-0 - Symmetries in geometry, topology and mathematical physics
Grantee:Alcibiades Rigas
Support Opportunities: Research Projects - Thematic Grants