Some Arithmetic Dynamics of Diagonally Split Polynomial Maps

DOI10.1093/imrn/rnt240zbMath1391.37073arXiv1304.3052OpenAlexW2963273515MaRDI QIDQ5246396

Khoa D. Nguyen

Publication date: 21 April 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.3052

zbMATH Keywords

Hasse principleBombieri-Masser-Zannier height boundperiodic hypersurfacesplit polynomial map

Mathematics Subject Classification ID

Varieties over global fields (11G35) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Dynamical systems over global ground fields (37P15)

Related Items (9)

On a dynamical local-global principle in Mordell-Weil type groups ⋮ A dynamical variant of the Pink-Zilber conjecture ⋮ On abelian points of varieties intersecting subgroups in a torus ⋮ Periodic points and tail lengths of split polynomial maps modulo primes ⋮ Transcendence of polynomial canonical heights ⋮ Simultaneously preperiodic points for families of polynomials in normal form ⋮ Dynamical anomalous subvarieties: structure and bounded height theorems ⋮ Invariant curves for endomorphisms of \(\mathbb{P}^1 \times \mathbb{P}^1\) ⋮ Finite index theorems for iterated Galois groups of cubic polynomials

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