Moduli spaces of sheaves on K3 surfaces

被引：0

作者：

Sawon, Justin ^{[1
]}

机构：

[1] Univ N Carolina, Dept Math, Chapel Hill, NC 27599 USA

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2016年 / 109卷

基金：

美国国家科学基金会;

关键词：

K3; surfaces; Stable and semistable sheaves; Moduli spaces; STABILITY CONDITIONS; HILBERT SCHEMES; VECTOR-BUNDLES; LAGRANGIAN FIBRATIONS; TWISTED STABILITY; STABLE BUNDLES; MORI CONES; MANIFOLDS; NUMBERS; KAHLER;

D O I：

10.1016/j.geomphys.2016.02.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this survey article we describe moduli spaces of simple, stable, and semistable sheaves on K3 surfaces, following the work of Mukai, O'Grady, Huybrechts, Yoshioka, and others. We also describe some recent developments, including applications to the study of Chow rings of K3 surfaces, determination of the ample and nef cones of irreducible holomorphic symplectic manifolds, and moduli spaces of Bridgeland stable complexes of sheaves. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：68 / 82

页数：15

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