A note on singular moduli spaces of sheaves on K3 surfaces

被引：0
作者：
Zhang, Ziyu [1 ]
机构：
[1] Max Planck Inst Math, D-53111 Bonn, Germany
来源：
GEOMETRIAE DEDICATA | 2014年 / 173卷 / 01期
基金：
英国工程与自然科学研究理事会;
关键词：
Moduli spaces of sheaves; K3; surfaces; Exceptional bundles;
D O I：
10.1007/s10711-013-9946-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper studies deformations and birational maps between singular moduli spaces of torsion free semistable sheaves with 2-divisible Mukai vectors on K3 surfaces. It is showed that when the greatest common divisor of the rank and the first Chern class is 2, two such moduli spaces of the same dimension can be connected by deformations and birational maps.
引用
收藏
页码：347 / 363
页数：17
相关论文
共 14 条
[1]   MODULI OF VECTOR BUNDLES ON AN ALGEBRAIC SURFACE [J].
GIESEKER, D .
ANNALS OF MATHEMATICS, 1977, 106 (01) :45-60
[2]   The Kahler cone of a compact hyperkahler manifold [J].
Huybrechts, D .
MATHEMATISCHE ANNALEN, 2003, 326 (03) :499-513
[3]  
Huybrechts D, 1997, GEOMETRY MODULI SPAC
[4]   Singular symplectic moduli spaces [J].
Kaledin, D ;
Lehn, M ;
Sorger, C .
INVENTIONES MATHEMATICAE, 2006, 164 (03) :591-614
[5]  
Maruyama M, 1977, J MATH KYOTO U, V17, P91
[6]  
Maruyama M, 1978, J MATH KYOTO U, V18, P557
[7]   SYMPLECTIC STRUCTURE OF THE MODULI SPACE OF SHEAVES ON AN ABELIAN OR K3 SURFACE [J].
MUKAI, S .
INVENTIONES MATHEMATICAE, 1984, 77 (01) :101-116
[8]   Desingularized moduli spaces of sheaves on a K3 [J].
O'Grady, KG .
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1999, 512 :49-117
[9]  
Perego A., 2011, ARXIV11021847MATHAG
[10]  
Perego A., 2010, ARXIV10080190MATHAG
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