Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy

Abstract

We classify complex projective surfaces with an automorphism of positive entropy for which the unique invariant measure of maximal entropy is absolutely continuous with respect to Lebesgue measure.

57 pages, 1 figure

References in corpus (4)

• Polynomial diffeomorphisms of C^2, IV: The measure of maximal entropy and laminar currents
• Normal subgroups in the Cremona group (long version)
• Stable manifolds of holomorphic diffeomorphisms
• On the inertia group of elliptic curves in the Cremona group of the plane

Cited by in corpus (7)

• Canonical currents and heights for K3 surfaces
• A Proof of the Conjecture of Lehmer and of the Conjecture of Schinzel-Zassenhaus
• Ricci-flat metrics and dynamics on K3 surfaces
• Gaps in the support of canonical currents on projective K3 surfaces
• Masur's Divergence for Tori and Kummer Surfaces
• Semipositive line bundles and (1,1)-classes
• Ricci-flat metrics on Calabi-Yau manifolds