Proof of a dynamical Bogomolov conjecture for lines under polynomial actions

DOI10.1090/S0002-9939-09-10182-XzbMath1187.37134arXiv0808.3263OpenAlexW2140235545WikidataQ122889827 ScholiaQ122889827MaRDI QIDQ3550568

Dragos Ghioca, Thomas J. Tucker

Publication date: 31 March 2010

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

Full work available at URL: https://arxiv.org/abs/0808.3263

zbMATH Keywords

Julia setBogomolov conjecture

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Polynomials in number theory (11C08) Global ground fields in algebraic geometry (14G25) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05)

Related Items (8)

Algebraic dynamics of the lifts of Frobenius ⋮ Periods of orbits modulo primes ⋮ Greatest common divisors of iterates of polynomials ⋮ Unlikely intersection problems for restricted lifts of a \(p\)-th power ⋮ Cohomological Conditions on Endomorphisms of Projective Varieties ⋮ A REFORMULATION OF THE DYNAMICAL MANIN–MUMFORD CONJECTURE ⋮ On the preperiodic points of an endomorphism of ℙ¹×ℙ¹ which lie on a curve ⋮ The dynamical Manin–Mumford conjecture and the dynamical Bogomolov conjecture for endomorphisms of

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