Linear relations between polynomial orbits

DOI10.1215/00127094-1598098zbMath1267.37043arXiv0807.3576OpenAlexW2949477212MaRDI QIDQ428166

Dragos Ghioca, Michael E. Zieve, Thomas J. Tucker

Publication date: 19 June 2012

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

Full work available at URL: https://arxiv.org/abs/0807.3576

zbMATH Keywords

algebraic dynamicsMordell-Lang conjecturepolynomial orbits

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Arithmetic problems in algebraic geometry; Diophantine geometry (14G99) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05)

Related Items (20)

On amenable semigroups of rational functions ⋮ The orbit intersection problem in positive characteristic ⋮ Polynomial dynamics and local analysis of small and grand orbits ⋮ Counting points of bounded height in monoid orbits ⋮ Reductions modulo primes of systems of polynomial equations and algebraic dynamical systems ⋮ Rational points on certain families of symmetric equations ⋮ Orbits of Algebraic Dynamical Systems in Subgroups and Subfields ⋮ Tame rational functions: decompositions of iterates and orbit intersections ⋮ Periods of rational maps modulo primes ⋮ The size of semigroup orbits modulo primes ⋮ The Mordell-Lang question for endomorphisms of semiabelian varieties ⋮ The dynamical Mordell-Lang problem for Noetherian spaces ⋮ Unlikely intersections over finite fields: polynomial orbits in small subgroups ⋮ Growth rate of ample heights and the Dynamical Mordell–Lang conjecture ⋮ On algebraic integers of bounded house and preperiodicity in polynomial semigroup dynamics ⋮ Powers in Orbits of Rational Functions: Cases of an Arithmetic Dynamical Mordell–Lang Conjecture ⋮ Rationality of dynamical canonical height ⋮ The dynamical Mordell-Lang problem for intersection of two orbits ⋮ On intersections of polynomial semigroups orbits with plane lines ⋮ A dynamical Mordell-Lang property on the disk

Cites Work

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• The Mordell-Lang question for endomorphisms of semiabelian varieties
• A new family of exceptional polynomials in characteristic two
• A case of the dynamical Mordell-Lang conjecture
• Periodic points, linearizing maps, and the dynamical Mordell-Lang problem
• Courbes sur une variété abélienne et points de torsion
• Equidistribution of small points on abelian varieties
• Positivity and discretion of algebraic points of curves
• Integral points on curves
• Canonical heights on projective space
• Naïve noncommutative blowing up
• On a problem of Zariski on dimensions of linear systems
• Integral points on subvarieties of semiabelian varieties. I
• Intersections of polynomial orbits, and a dynamical Mordell-Lang conjecture
• A note on recurring series
• The dynamical Mordell-Lang problem for etale maps
• Remarks on endomorphisms and rational points
• Complex analytic dynamics on the Riemann sphere
• Equidistribution and integral points for Drinfeld modules
• $p^k$-torsion of genus two curves over $\mathbb {F}_{p^m}$
• Géométrie et suites récurrentes
• On a theorem of Ritt and related Diophantine problems.
• The Diophantine equation f(x) = g(y)
• A GENERALISED SKOLEM–MAHLER–LECH THEOREM FOR AFFINE VARIETIES
• Polynomial Substitutions

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