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July, 2018 Elliptic fibrations on K3 surfaces and Salem numbers of maximal degree
Xun YU
J. Math. Soc. Japan 70(3): 1151-1163 (July, 2018). DOI: 10.2969/jmsj/75907590

Abstract

We study the maximal Salem degree of automorphisms of K3 surfaces via elliptic fibrations. In particular, we establish a characterization of such maximum in terms of elliptic fibrations with infinite automorphism groups. As an application, we show that any supersingular K3 surface in odd characteristic has an automorphism the entropy of which is the natural logarithm of a Salem number of degree 22.

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Xun YU. "Elliptic fibrations on K3 surfaces and Salem numbers of maximal degree." J. Math. Soc. Japan 70 (3) 1151 - 1163, July, 2018. https://doi.org/10.2969/jmsj/75907590

Information

Received: 24 August 2016; Revised: 20 January 2017; Published: July, 2018
First available in Project Euclid: 25 June 2018

zbMATH: 06966978
MathSciNet: MR3830803
Digital Object Identifier: 10.2969/jmsj/75907590

Subjects:
Primary: 14J28, 14J50
Secondary: 14D06, 14G99

Rights: Copyright © 2018 Mathematical Society of Japan

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Vol.70 • No. 3 • July, 2018
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