The existence of Zariski dense orbits for polynomial endomorphisms of the affine plane

DOI10.1112/S0010437X17007187zbMath1395.37069arXiv1510.07684WikidataQ126208530 ScholiaQ126208530MaRDI QIDQ4978616

Junyi Xie

Publication date: 25 August 2017

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.07684

zbMATH Keywords

orbitpolynomial endomorphismvaluative tree

Mathematics Subject Classification ID

Rational points (14G05) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Non-Archimedean dynamical systems (11S82) Arithmetic dynamics on general algebraic varieties (37P55)

Related Items (9)

Algebraic dynamics of skew-linear self-maps ⋮ Integral points and orbits of endomorphisms on the projective plane ⋮ Surjective endomorphisms of projective surfaces: the existence of infinitely many dense orbits ⋮ Survey lecture on arithmetic dynamics ⋮ Algebraicity criteria, invariant subvarieties and transcendence problems from arithmetic dynamics ⋮ Rational self-maps with a regular iterate on a semiabelian variety ⋮ Remarks on algebraic dynamics in positive characteristic ⋮ Density of orbits of dominant regular self-maps of semiabelian varieties ⋮ Current trends and open problems in arithmetic dynamics

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• Applications of p-Adic Analysis for Bounding Periods of Subvarieties Under Etale Maps
• Dynamics on Berkovich Spaces in Low Dimensions
• p-adic interpolation of iterates
• A GENERALISED SKOLEM–MAHLER–LECH THEOREM FOR AFFINE VARIETIES

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