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
Keywords:
automorphism
,
Enriques surface
,
K3 surface
,
Salem number
,
Siegel disk
,
topological entropy
Rights: Copyright © 2010 Mathematical Society of Japan
