Automorphisms of elliptic K3 surfaces and Salem numbers of maximal degree

被引：9

作者：

Esnault, Helene ^{[1
]}

Oguiso, Keiji ^{[2
,3
]}

Yu, Xun ^{[4
]}

机构：

[1] Free Univ Berlin, Arnimallee 3, D-14195 Berlin, Germany

[2] Univ Tokyo, Math Sci, Meguro Komaba 3-8-1, Tokyo, Japan

[3] Korea Inst Adv Study, Hoegiro 87, Seoul 133722, South Korea

[4] POSTECH, Ctr Geometry & Applicat, Pohang 790784, South Korea

来源：

ALGEBRAIC GEOMETRY | 2016年 / 3卷 / 04期

关键词：

K3; surfaces; automorphisms; mixed characteristics; Salem numbers; ENTROPY;

D O I：

10.14231/AG-2016-023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using elliptic structures, we show that any supersingular K3 surface of Artin invariant 1 in characteristic p not equal 5, 7, 13 has an automorphism the entropy of which is the natural logarithm of a Salem number of degree 22.

引用

页码：496 / 507

页数：12

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