Automorphisms of Salem degree 22 on supersingular K3 surfaces of higher Artin invariant

被引：0
|
作者：
Brandhorst, Simon [1 ]
机构：
[1] Leibniz Univ Hannover, Insitut Algebra Geometrie, Welfengarten 1, D-30167 Hannover, Germany
来源：
MATHEMATICAL RESEARCH LETTERS | 2018年 / 25卷 / 04期
关键词：
D O I：
10.4310/MRL.2018.v25.n4.a4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a short proof that every supersingular K3 surface (except possibly in characteristic 2 with Artin invariant sigma = 10) has an automorphism of Salem degree 22. In particular an infinite subgroup of the automorphism group does not lift to characteristic zero. The proof relies on the case sigma = 1 and the cone conjecture for K3 surfaces.
引用
收藏
页码：1143 / 1150
页数：8
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