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Kummer rigidity for K3 surface automorphisms via Ricci-flat metrics
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 143, Number 5, October 2021
- pp. 1431-1462
- 10.1353/ajm.2021.0036
- Article
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Abstract
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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