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
收藏
页码：365 / 459
页数：95
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