Kummer rigidity for K3 surface automorphisms via Ricci-flat metrics
arXiv:1808.08673 · doi:10.1353/ajm.2021.0036
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.
31 pages; v3: expository improvements, final version to appear in Amer. J. Math