On intersections of polynomial semigroups orbits with plane lines

DOI10.4153/S0008439520000557zbMath1475.37110arXiv1907.03934OpenAlexW2962385605MaRDI QIDQ5003445

Jorge Mello

Publication date: 22 July 2021

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.03934

zbMATH Keywords

unlikely intersections in arithmetic dynamicspolynomial semigroup dynamics

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Heights (11G50) Global ground fields in algebraic geometry (14G25) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Dynamical systems over global ground fields (37P15)

Cites Work

• Linear relations between polynomial orbits
• The Mordell-Lang question for endomorphisms of semiabelian varieties
• A case of the dynamical Mordell-Lang conjecture
• The orbit intersection problem for linear spaces and semiabelian varieties
• The dynamical Mordell-Lang problem for Noetherian spaces
• On the quantitative dynamical Mordell-Lang conjecture
• Intersections of polynomial orbits, and a dynamical Mordell-Lang conjecture
• The Dynamical Mordell–Lang Conjecture
• Canonical heights, invariant currents, and dynamical eigensystems of morphisms for line bundles
• A gap principle for dynamics
• The Diophantine equation f(x) = g(y)
• Reductions modulo primes of systems of polynomial equations and algebraic dynamical systems
• Orbits of Algebraic Dynamical Systems in Subgroups and Subfields
• Canonical Heights for Random Iterations in Certain Varieties
• A dynamical Mordell-Lang property on the disk

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