Algebraic versus topological entropy for surfaces over finite fields

zbMath1299.14024arXiv1105.2426MaRDI QIDQ379130

Hélène Esnault, Vasudevan Srinivas

Publication date: 8 November 2013

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.2426

zbMATH Keywords

topological entropyalgebraic surfacealgebraic entropy\(\ell\)-adic étale cohomology

Mathematics Subject Classification ID

Surfaces and higher-dimensional varieties (14J99) Arithmetic problems in algebraic geometry; Diophantine geometry (14G99) Positive characteristic ground fields in algebraic geometry (14G17)

Related Items (14)

Dynamics on supersingular \(K3\) surfaces ⋮ Minimum positive entropy of complex Enriques surface automorphisms ⋮ Non-liftability of automorphism groups of a \(K3\) surface in positive characteristic ⋮ Étale dynamical systems and topological entropy ⋮ Eigenvalues and dynamical degrees of self-maps on abelian varieties ⋮ Remarks on algebraic dynamics in positive characteristic ⋮ Constraints on the cohomological correspondence associated to a self map ⋮ \(K3\) surfaces of zero entropy admitting an elliptic fibration with only irreducible fibers ⋮ The maximum number of lines lying on a \(K3\) quartic surface ⋮ Relative dynamical degrees of correspondences over a field of arbitrary characteristic ⋮ Equidistribution problems in complex dynamics of higher dimension ⋮ A theorem of Tits type for automorphism groups of projective varieties in arbitrary characteristic. With an appendix by Tomohide Terasoma ⋮ DYNAMICS ON SUPERSINGULAR K3 SURFACES AND AUTOMORPHISMS OF SALEM DEGREE 22 ⋮ Compact Kähler manifolds admitting large solvable groups of automorphisms

Cites Work

• Commutative automorphism groups of a compact Kähler manifold
• Volume growth and entropy
• Enriques' classification of surfaces in char p. III
• La conjecture de Weil. I
• On the entropy of holomorphic maps
• Some consequences of the Riemann hypothesis for varieties over finite fields
• Endomorphisms of Abelian varieties over finite fields
• Categories tannakiennes
• Supersingular \(K3\) surfaces in characteristic 2 as double covers of a projective plane
• Dynamics on K3 surfaces: Salem numbers and Siegel disks
• Finiteness of K3 surfaces and the Tate conjecture
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