Kummer rigidity for K3 surface automorphisms via RICCI-Flat metrics

Simion Filip; Valentino Tosatti

doi:10.1353/ajm.2021.0036

Kummer rigidity for K3 surface automorphisms via RICCI-Flat metrics

Simion Filip, Valentino Tosatti

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We give an alternative proof of a result of Cantat & Dupont, showing that any automorphism of a K3 surface with measure of maximal entropy in the Lebesgue class must be a Kummer example. Our method exploits the existence of Ricci-flat metrics on K3s and also covers the non-projective case.

Original language	English (US)
Pages (from-to)	1431-1462
Number of pages	32
Journal	American Journal of Mathematics
Volume	143
Issue number	5
DOIs	https://doi.org/10.1353/ajm.2021.0036
State	Published - Oct 2021

ASJC Scopus subject areas

General Mathematics

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10.1353/ajm.2021.0036

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title = "Kummer rigidity for K3 surface automorphisms via RICCI-Flat metrics",

abstract = "We give an alternative proof of a result of Cantat & Dupont, showing that any automorphism of a K3 surface with measure of maximal entropy in the Lebesgue class must be a Kummer example. Our method exploits the existence of Ricci-flat metrics on K3s and also covers the non-projective case.",

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Kummer rigidity for K3 surface automorphisms via RICCI-Flat metrics

Abstract

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