On the arithmetic dynamics of monomial maps

DOI10.1017/etds.2018.5zbMath1427.37072arXiv1704.02661OpenAlexW2963022396MaRDI QIDQ5242536

Jan-Li Lin

Publication date: 12 November 2019

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.02661

zbMATH Keywords

toric varietiesManin-Mumford conjectureMordell-Lang conjectureheight growth

Mathematics Subject Classification ID

Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Arithmetic dynamics on general algebraic varieties (37P55) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30)

Related Items (3)

Kawaguchi-Silverman conjecture for endomorphisms on rationally connected varieties admitting an int-amplified endomorphism ⋮ Arithmetic degrees and dynamical degrees of endomorphisms on surfaces ⋮ Arithmetic and dynamical degrees of self-morphisms of semi-abelian varieties

Cites Work

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• Noetherian mappings
• The dynamical Manin-Mumford problem for plane polynomial automorphisms
• On the degree growth of birational mappings in higher dimension
• Growth-complexity spectrum of some discrete dynamical systems
• The dynamical Manin-Mumford conjecture and the dynamical Bogomolov conjecture for split rational maps
• The Dynamical Mordell–Lang Conjecture
• The dynamical Mordell-Lang problem for etale maps
• Introduction to Toric Varieties. (AM-131)
• Pulling back cohomology classes and dynamical degrees of monomial maps
• Degree growth of monomial maps and McMullen's polytope algebra
• On the complexity of some birational transformations
• Dynamical degree, arithmetic entropy, and canonical heights for dominant rational self-maps of projective space
• Degree-growth of monomial maps
• Exponential diophantine equations

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