Projective surface automorphisms of positive topological entropy from an arithmetic viewpoint
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Publication:5454158
DOI10.1353/ajm.2008.0008zbMath1144.14019arXivmath/0510634OpenAlexW2001962424MaRDI QIDQ5454158
Publication date: 3 April 2008
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0510634
Varieties over global fields (11G35) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Automorphisms of surfaces and higher-dimensional varieties (14J50)
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Arithmetic degrees and dynamical degrees of endomorphisms on surfaces ⋮ Canonical vector heights on \(K3\) surfaces -- a nonexistence result ⋮ The dynamical and arithmetical degrees for eigensystems of rational self-maps ⋮ Random dynamics on real and complex projective surfaces ⋮ Non-density of points of small arithmetic degrees ⋮ Finite orbits for large groups of automorphisms of projective surfaces ⋮ Remarks on algebraic dynamics in positive characteristic ⋮ Examples of dynamical degree equals arithmetic degree ⋮ On the complex dynamics of birational surface maps defined over number fields ⋮ Distinguished line bundles for complex surface automorphisms ⋮ A rational map with infinitely many points of distinct arithmetic degrees ⋮ Ample canonical heights for endomorphisms on projective varieties ⋮ The \(g\)-periodic subvarieties for an automorphism \(g\) of positive entropy on a compact Kähler manifold ⋮ Kummer rigidity for K3 surface automorphisms via Ricci-flat metrics
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