Singularities on the 2-dimensional moduli spaces of stable sheaves on K3 surfaces

被引：7

作者：

Onishi, N ^{[1
]}

Yoshioka, K ^{[1
]}

机构：

[1] Kobe Univ, Fac Sci, Dept Math, Kobe, Hyogo 657, Japan

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2003年 / 14卷 / 08期

关键词：

K3; surface; moduli of vector bundles; singularities;

D O I：

10.1142/S0129167X03002022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the singuralities of 2-dimensional moduli spaces of semi-stable sheaves on k3 surfaces. We show that the moduli space is normal, in particular the siguralities are rational double points. We also describe the exceptional locus on the resolution in terms of exceptional sheaves.

引用

页码：837 / 864

页数：28

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