On automorphisms of the punctual Hilbert schemes of K3 surfaces

被引：7

作者：

Oguiso K. ^{[1
,2
]}

机构：

[1] Department of Mathematics, Osaka University, Toyonaka, 560-0043, Osaka

[2] Korea Institute for Advanced Study, Hoegiro 87, Seoul

来源：

European Journal of Mathematics | 2016年 / 2卷 / 1期

基金：

日本学术振兴会;

关键词：

Automorphisms; Crepant resolution; Hyperkähler manifolds; Mori dream space;

D O I：

10.1007/s40879-015-0070-4

中图分类号：

学科分类号：

摘要：

We present a sufficient condition for the punctural Hilbert scheme of length two of a K3 surface with finite automorphism group to have automorphism group of infinite order in geometric terms (Theorem 2.1) and supply it with concrete examples (Theorem 1.2). We also discuss Mori dream space structures under an extermal crepant resolution (Theorems 1.2, 4.1, 5.2) from the viewpoint of automorphisms. These affirmatively answer a question of Malte Wandel. © 2015, Springer International Publishing AG.

引用

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页码：246 / 261

页数：15

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