On Symplectic Birational Self-Maps of Projective Hyperkähler Manifolds of K3[n]-Type

被引：0

作者：

Dutta, Yajnaseni ^{[1
]}

Mattei, Dominique ^{[2
]}

Prieto-Montanez, Yulieth ^{[3
]}

机构：

[1] Leiden Univ, Math Inst, Niels Bohrweg 1, NL-2333CA Leiden, Netherlands

[2] Univ Bonn, Endenicher Allee 60, D-53115 Bonn, Germany

[3] Abdus Salam Int Ctr Theoret Phys, Str Costiera, 11, I-34151 Trieste, Italy

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2024年 / 2024卷 / 15期

关键词：

STABILITY CONDITIONS; AUTOMORPHISMS; TORELLI; SPACE;

D O I：

10.1093/imrn/rnae112

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that projective hyperk & auml;hler manifolds of K3([n])-type admitting a non-trivial symplectic birational self-map of finite order are isomorphic to moduli spaces of stable (twisted) coherent sheaves on K3 surfaces. Motivated by this result, we analyze the reflections on the movable cone of moduli spaces of sheaves and determine when they come from a birational involution.

引用

页码：11064 / 11081

页数：18

共 9 条

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