The equidistribution of small points for strongly regular pairs of polynomial maps

DOI10.1007/s00209-013-1169-2zbMath1294.11114arXiv1203.1224OpenAlexW2963060768MaRDI QIDQ2435118

Chong Gyu Lee

Publication date: 3 February 2014

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.1224

zbMATH Keywords

equidistributionGreen functionperiodic pointcanonical heightadelic metricaffine regular automorphismsmall point

Mathematics Subject Classification ID

Heights (11G50) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Applications to coding theory and cryptography of arithmetic geometry (14G50) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30)

Related Items (6)

Equidistribution of saddle periodic points for Hénon-type automorphisms of \(\mathbb C^k\) ⋮ Regular polynomial automorphisms in the space of planar quadratic rational maps ⋮ The dynamical Manin-Mumford problem for plane polynomial automorphisms ⋮ The geometric dynamical Northcott property for regular polynomial automorphisms of the affine plane ⋮ GIT stability of Hénon maps ⋮ Unnamed Item

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