A case of the dynamical Mordell-Lang conjecture

DOI10.1007/s00208-010-0621-4zbMath1285.37021OpenAlexW2090080993WikidataQ122875843 ScholiaQ122875843MaRDI QIDQ661298

Thomas J. Tucker, Dragos Ghioca, Robert L. Benedetto, Pär Kurlberg

Publication date: 10 February 2012

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-010-0621-4

zbMATH Keywords

algebraic dynamicsdynamical Mordell-Lang conjectureSkolem's method

Mathematics Subject Classification ID

Dynamical systems over non-Archimedean local ground fields (37P20) Arithmetic dynamics on general algebraic varieties (37P55)

Related Items (24)

Periods of orbits modulo primes ⋮ On some extensions of the Ailon-Rudnick theorem ⋮ Reductions modulo primes of systems of polynomial equations and algebraic dynamical systems ⋮ Orbits of Algebraic Dynamical Systems in Subgroups and Subfields ⋮ 𝑝-adic interpolation of orbits under rational maps ⋮ Periods of rational maps modulo primes ⋮ A Gap Principle for Subvarieties with Finitely Many Periodic Points ⋮ Survey lecture on arithmetic dynamics ⋮ Backward orbits of critical points ⋮ Linear relations between polynomial orbits ⋮ Unlikely intersection problems for restricted lifts of a \(p\)-th power ⋮ The Mordell-Lang question for endomorphisms of semiabelian varieties ⋮ Prime divisors in polynomial orbits over function fields ⋮ Dynamical Mordell-Lang conjecture for birational polynomial morphisms on \(\mathbb A^2\) ⋮ Examples of dynamical degree equals arithmetic degree ⋮ Finite index theorems for iterated Galois groups of cubic polynomials ⋮ The dynamical Mordell-Lang problem for Noetherian spaces ⋮ p-adic interpolation of iterates ⋮ Unlikely intersections over finite fields: polynomial orbits in small subgroups ⋮ Periodic points, linearizing maps, and the dynamical Mordell-Lang problem ⋮ Current trends and open problems in arithmetic dynamics ⋮ On intersections of polynomial semigroups orbits with plane lines ⋮ A HASSE PRINCIPLE FOR PERIODIC POINTS ⋮ On the quantitative dynamical Mordell-Lang conjecture

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