Perverse coherent sheaves and Fourier-Mukai transforms on surfaces, II

被引：10

作者：

Yoshioka, Kota ^{[1
]}

机构：

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

来源：

KYOTO JOURNAL OF MATHEMATICS | 2015年 / 55卷 / 02期

基金：

日本学术振兴会;

关键词：

STABLE SHEAVES; MODULI SPACES; K3; SURFACES; TWISTED STABILITY; SINGULARITIES; CATEGORIES; FLOPS;

D O I：

10.1215/21562261-2871785

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study perverse coherent sheaves on the resolution of rational double points. As examples, we consider rational double points on 2-dimensional moduli spaces of stable sheaves on K3 and elliptic surfaces. Then we show that perverse coherent sheaves appear in the theory of Fourier-Mukai transforms. As an application, we generalize the Fourier-Mukai duality for K3 surfaces to our situation.

引用

页码：365 / 459

页数：95

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