Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy

DOI10.4171/JEMS/946zbMath1476.37071arXiv1410.1202OpenAlexW2999518761MaRDI QIDQ2178255

Christophe Dupont, Serge Cantat

Publication date: 7 May 2020

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.1202

zbMATH Keywords

rigidityrational surfaces\(K3\) surfacesalgebraic geometryholomorphic dynamical systemsKummer surfacesPesin's theory

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Automorphisms of surfaces and higher-dimensional varieties (14J50) Currents (32U40) Higher-dimensional holomorphic and meromorphic dynamics (37F80)

Related Items (9)

Smooth and rough positive currents ⋮ Random dynamics on real and complex projective surfaces ⋮ Gaps in the support of canonical currents on projective K3 surfaces ⋮ Finite orbits for large groups of automorphisms of projective surfaces ⋮ Tropical dynamics of area-preserving maps ⋮ Ricci-flat metrics and dynamics on \(K3\) surfaces ⋮ Construction of automorphisms of hyperkähler manifolds ⋮ Geometry and dynamics on Riemann and \(K3\) surfaces ⋮ Kummer rigidity for K3 surface automorphisms via Ricci-flat metrics

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