On the dynamics of the automorphism group of \(K3\) surfaces

DOI10.1007/BF01263089zbMath1081.14513OpenAlexW2025315682MaRDI QIDQ5959058

Serge Cantat

Publication date: 9 July 2002

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01263089

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85)

Related Items

Rational surfaces with a large group of automorphisms ⋮ Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy ⋮ Parabolic automorphisms of hyperkähler manifolds ⋮ Random dynamics on real and complex projective surfaces ⋮ Finite orbits for large groups of automorphisms of projective surfaces ⋮ Automorphisms of compact Kähler manifolds with slow dynamics ⋮ Mordell-Weil groups of a hyperkähler manifold -- a question of F. Campana ⋮ An ergodic study of Painlevé VI ⋮ Bers and Hénon, Painlevé and Schrödinger ⋮ A few explicit examples of complex dynamics of inertia groups on surfaces -- a question of Professor Igor Dolgachev ⋮ Periodic points of birational transformations on projective surfaces

Cites Work

• Automorphisms of Enriques surfaces
• Rational points on K3 surfaces: A new canonical height
• Density of rational points on Enriques surfaces
• Rational points on \(K3\) surfaces in \(\mathbb{P}^ 1\times\mathbb{P}^ 1\times\mathbb{P}^ 1\)
• On the density of rational points on elliptic fibrations
• Dynamique des automorphismes des surfaces projectives complexes
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