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VOL. 60 | 2010 The third smallest Salem number in automorphisms of K3 surfaces
Keiji Oguiso

Editor(s) JongHae Keum, Shigeyuki Kondō, Kazuhiro Konno, Keiji Oguiso

Abstract

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.

Information

Published: 1 January 2010
First available in Project Euclid: 24 November 2018

zbMATH: 1215.14039
MathSciNet: MR2761934

Digital Object Identifier: 10.2969/aspm/06010331

Subjects:
Primary: 14J28, 14J50

Rights: Copyright © 2010 Mathematical Society of Japan

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