Algebraicity criteria, invariant subvarieties and transcendence problems from arithmetic dynamics

DOI10.1007/s42543-022-00059-9arXiv2202.09032OpenAlexW4361298415MaRDI QIDQ6122847

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Publication date: 1 March 2024

Published in: Peking Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.09032

zbMATH Keywords

arithmetic dynamicsperiodic subvarietiesalgebraicity criteria

Mathematics Subject Classification ID

Transcendence (general theory) (11J81) Arithmetic dynamics on general algebraic varieties (37P55) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30)

Cites Work

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• Dynamical compactifications of \(\mathbb{C}^2\)
• The valuative tree
• Invariant varieties for polynomial dynamical systems
• Equidistribution for meromorphic maps with dominant topological degree
• Eigenvaluations
• Cohomological Conditions on Endomorphisms of Projective Varieties
• The dynamical Manin–Mumford conjecture and the dynamical Bogomolov conjecture for endomorphisms of
• The existence of Zariski dense orbits for polynomial endomorphisms of the affine plane
• The Arithmetic of Polynomial Dynamical Pairs
• Intersections of valuation rings ink[x,y]
• Dynamics on Berkovich Spaces in Low Dimensions
• Resultants and Symmetric Products
• Transcendence of polynomial canonical heights

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