Local and global canonical height functions for affine space regular automorphisms

DOI10.2140/ant.2013.7.1225zbMath1302.37067arXiv0909.3573OpenAlexW2962861140MaRDI QIDQ380361

Shu Kawaguchi

Publication date: 13 November 2013

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.3573

zbMATH Keywords

canonical heightlocal canonical heightregular polynomial automorphism

Mathematics Subject Classification ID

Heights (11G50) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Dynamical systems over non-Archimedean local ground fields (37P20) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30)

Related Items (7)

Regular polynomial automorphisms in the space of planar quadratic rational maps ⋮ The dynamical Manin-Mumford problem for plane polynomial automorphisms ⋮ GIT stability of Hénon maps ⋮ Unnamed Item ⋮ Examples of dynamical degree equals arithmetic degree ⋮ On the complex dynamics of birational surface maps defined over number fields ⋮ Ample canonical heights for endomorphisms on projective varieties

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