## Journal of the Mathematical Society of Japan

### Elliptic fibrations on K3 surfaces and Salem numbers of maximal degree

Xun YU

#### 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.

#### Article information

Source
J. Math. Soc. Japan, Volume 70, Number 3 (2018), 1151-1163.

Dates
Revised: 20 January 2017
First available in Project Euclid: 25 June 2018

https://projecteuclid.org/euclid.jmsj/1529892024

Digital Object Identifier
doi:10.2969/jmsj/75907590

Mathematical Reviews number (MathSciNet)
MR3830803

Zentralblatt MATH identifier
06966978

#### Citation

YU, Xun. Elliptic fibrations on K3 surfaces and Salem numbers of maximal degree. J. Math. Soc. Japan 70 (2018), no. 3, 1151--1163. doi:10.2969/jmsj/75907590. https://projecteuclid.org/euclid.jmsj/1529892024

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