Minimum positive entropy of complex Enriques surface automorphisms

Keiji Oguiso; Xun Yu

doi:10.1215/00127094-2020-0033

Abstract

We determine the minimum positive entropy of complex Enriques surface automorphisms. This together with McMullen’s work completes the determination of the minimum positive entropy of complex surface automorphisms in each class of the Enriques–Kodaira classification of complex surfaces.

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Keiji Oguiso. Xun Yu. "Minimum positive entropy of complex Enriques surface automorphisms." Duke Math. J. 169 (18) 3565 - 3606, 1 December 2020. https://doi.org/10.1215/00127094-2020-0033

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Received: 24 January 2019; Revised: 25 March 2020; Published: 1 December 2020

First available in Project Euclid: 1 December 2020

MathSciNet: MR4181033

Digital Object Identifier: 10.1215/00127094-2020-0033

Subjects:

Primary: 14J28

Secondary: 11R06 , 14J50 , 37B40

Keywords: automorphism , Enriques surface , Salem number , topological entropy

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