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Kummer rigidity for K3 surface automorphisms via Ricci-flat metrics

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arxiv 1808.08673 v3 pith:DUYPDUQE submitted 2018-08-27 math.DS math.CVmath.DG

Kummer rigidity for K3 surface automorphisms via Ricci-flat metrics

Simion Filip , Valentino Tosatti This is my paper
classification math.DS math.CVmath.DG
keywords kummermetricsricci-flatsurfacealternativeautomorphismautomorphismscantat
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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.

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