On upper bounds of arithmetic degrees

DOI10.1353/ajm.2020.0045zbMath1489.37118arXiv1606.00598OpenAlexW3098097479MaRDI QIDQ5147266

Yohsuke Matsuzawa

Publication date: 3 February 2021

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

Full work available at URL: https://arxiv.org/abs/1606.00598

zbMATH Keywords

Picard numberprojective varietyarithmetic degreedominant rational map

Mathematics Subject Classification ID

Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Arithmetic dynamics on general algebraic varieties (37P55) Dynamical systems over global ground fields (37P15)

Related Items (9)

Kawaguchi-Silverman conjecture for endomorphisms on rationally connected varieties admitting an int-amplified endomorphism ⋮ Counting points of bounded height in monoid orbits ⋮ Higher arithmetic degrees of dominant rational self-maps ⋮ 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 ⋮ Kawaguchi-Silverman conjecture for endomorphisms on several classes of varieties

This page was built for publication: On upper bounds of arithmetic degrees