The ADHM variety and perverse coherent sheaves

JOURNAL OF GEOMETRY AND PHYSICS

卷:61

Article

Jardim, Marcos¹  Martins, Renato Vidal² 

[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

关键词: ADHM construction;    Perverse coherent sheaves;    Monads;   

DOI  :  10.1016/j.geomphys.2011.06.003

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free