SHEAVES ON ALE SPACES AND QUIVER VARIETIES

被引：26

作者：

Nakajima, Hiraku ^{[1
]}

机构：

[1] Kyoto Univ, Dept Math, Kyoto 6068502, Japan

来源：

MOSCOW MATHEMATICAL JOURNAL | 2007年 / 7卷 / 04期

关键词：

ALE space; ADHM description; coherent sheaf; framed moduli space;

D O I：

10.17323/1609-4514-2007-7-4-699-722

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We identify a quiver variety of an affine type with a framed moduli space of torsion free sheaves on an ALE space, a fiber of a simultaneous resolution of the semi-universal deformation of C(2)/Gamma. This result is an analog of a similar identification for a framed moduli space of anti-self-dual connections on an ALE space, given by Kronheimer and the author. It simultaneously generalizes the description on C(2) given in Chapter 2 of my "Lectures on Hilbert schemes of points on surfaces" to arbitrary ALE space, and also the description of the Hilbert schemes of points on the ALE space by Kuznetsov to arbitrary torsion free sheaves.

引用

页码：699 / 722

页数：24