Hyperkahler Manifolds and Sheaves

被引：0
|
作者：
Huybrechts, Daniel [1 ]
机构：
[1] Univ Bonn, Math Inst, Bonn, Germany
来源：
PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS, VOL II: INVITED LECTURES | 2010年
关键词：
Hyperkahler manifolds; moduli spaces; derived categories; holomorphic symplectic manifolds; STABILITY CONDITIONS; SINGULAR-VARIETIES; K3; SURFACES; CATEGORIES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Moduli spaces of hyperkahler manifolds or of sheaves on them are often non separated. We will discuss results where this phenomenon reflects interesting geometric aspects, e.g. deformation equivalence of birational hyperkahler manifolds or cohomological properties of derived autoequivalences. In these considerations the Ricci-flat structure often plays a crucial role via the associated twistor space providing global deformations of manifolds and bundles.
引用
收藏
页码：450 / 460
页数：11
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