A HASSE PRINCIPLE FOR PERIODIC POINTS

DOI10.1142/S1793042113500747zbMath1281.11100arXiv1209.2399OpenAlexW3103842199MaRDI QIDQ2870231

Adam Towsley

Publication date: 17 January 2014

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.2399

zbMATH Keywords

periodic pointsarithmetic dynamicsintegrality

Mathematics Subject Classification ID

Non-Archimedean dynamical systems (11S82) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Arithmetic properties of periodic points (37P35)

Related Items (4)

Reductions modulo primes of systems of polynomial equations and algebraic dynamical systems ⋮ Integral orbits over function fields ⋮ On effective \(\epsilon\)-integrality in orbits of rational maps over function fields and multiplicative dependence ⋮ Newton's method over global height fields

Cites Work

• Unnamed Item
• A case of the dynamical Mordell-Lang conjecture
• Variations on a theme of Runge: effective determination of integral points on certain varieties
• Integer points, diophantine approximation, and iteration of rational maps
• On Weil's "Theoreme de Decomposition

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