Kummer rigidity for K3 surface automorphisms via Ricci-flat metrics
Dynamical Systems
2021-11-09 v3 Complex Variables
Differential Geometry
Abstract
We give an alternative proof of a result of Cantat and 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.
Cite
@article{arxiv.1808.08673,
title = {Kummer rigidity for K3 surface automorphisms via Ricci-flat metrics},
author = {Simion Filip and Valentino Tosatti},
journal= {arXiv preprint arXiv:1808.08673},
year = {2021}
}
Comments
31 pages; v3: expository improvements, final version to appear in Amer. J. Math