Arithmetic degrees and dynamical degrees of endomorphisms on surfaces

DOI10.2140/ant.2018.12.1635zbMath1423.14163arXiv1701.04369OpenAlexW3101991358MaRDI QIDQ1621976

Kaoru Sano, Takahiro Shibata, Yohsuke Matsuzawa

Publication date: 12 November 2018

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.04369

zbMATH Keywords

arithmetic dynamicsdynamical degreesarithmetic degree

Mathematics Subject Classification ID

Rational points (14G05) Rational and birational maps (14E05) Varieties over global fields (11G35) Heights (11G50) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30) Dynamical systems over global ground fields (37P15)

Related Items (15)

Kawaguchi-Silverman conjecture for endomorphisms on rationally connected varieties admitting an int-amplified endomorphism ⋮ Higher arithmetic degrees of dominant rational self-maps ⋮ Spectral interpretations of dynamical degrees and applications ⋮ Zariski density of points with maximal arithmetic degree ⋮ Survey lecture on arithmetic dynamics ⋮ Arithmetic and dynamical degrees of self-morphisms of semi-abelian varieties ⋮ Non-density of points of small arithmetic degrees ⋮ Remarks on algebraic dynamics in positive characteristic ⋮ A note on Kawaguchi–Silverman conjecture ⋮ A rational map with infinitely many points of distinct arithmetic degrees ⋮ Kawaguchi-Silverman conjecture for endomorphisms on several classes of varieties ⋮ Ample canonical heights for endomorphisms on projective varieties ⋮ Current trends and open problems in arithmetic dynamics ⋮ Kawaguchi-Silverman conjecture for certain surjective endomorphisms ⋮ Potential density of projective varieties having an int-amplified endomorphism

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