𝑝-adic interpolation of orbits under rational maps

DOI10.1090/proc/16591zbMath1527.37102arXiv2202.01673MaRDI QIDQ6095799

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Publication date: 8 September 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.01673

zbMATH Keywords

dynamical Mordell-Lang conjecture\(p\)-adic interpolationorbits of points under rational maps

Mathematics Subject Classification ID

Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Dynamical systems over non-Archimedean local ground fields (37P20) Arithmetic dynamics on general algebraic varieties (37P55)

Cites Work

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• Periods of rational maps modulo primes
• On degrees of birational mappings
• Existence of non-preperiodic algebraic points for a rational self-map of infinite order
• The Dynamical Mordell–Lang Conjecture
• The dynamical Mordell-Lang problem for etale maps
• Some applications of 𝑝-adic uniformization to algebraic dynamics
• [https://portal.mardi4nfdi.de/wiki/Publication:4621318 Dynamical Mordell�Lang and automorphisms of blow-ups]
• Applications of p-Adic Analysis for Bounding Periods of Subvarieties Under Etale Maps
• On a dynamical Mordell-Lang conjecture for coherent sheaves
• p-adic interpolation of iterates
• The Dynamical Mordell–Lang Conjecture for Skew-Linear Self-Maps. Appendix by Michael Wibmer

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