The third smallest Salem number in automorphisms of K3 surfaces

被引：0

作者：

Oguiso, Keiji ^{[1
]}

机构：

[1] Osaka Univ, Dept Math, Toyonaka, Osaka 5600043, Japan

来源：

ALGEBRAIC GEOMETRY IN EAST ASIA - SEOUL 2008 | 2010年 / 60卷

关键词：

K3; surface; Enriques surface; automorphism; topological entropy; Salem number; Siegel disk; MANIFOLDS; DYNAMICS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We realize the logarithm of the third smallest known Salem number as the topological entropy of a K3 surface automorphism with a Siegel disk and a pointwise fixed curve at the same time. We also show that the logarithm of the Lehmer number, the smallest known Salem number, is not realizable as the topological entropy of any Enriques surface automorphism. These results are entirely inspired by McMullen's works and Mathematica programs.

引用

页码：331 / 360

页数：30

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