Height estimates for dominant endomorphisms on projective varieties

DOI10.7858/EAMJ.2016.007zbMATH Open1416.11114arXiv1008.2394OpenAlexW2963088168MaRDI QIDQ2795325

Chong Gyu Lee

Publication date: 21 March 2016

Published in: East Asian Mathematical Journal (Search for Journal in Brave)

Abstract: A polarizable endomorphism on a projective variety enables us to consider given morphism as constant multiplication in the height function. In this paper, we will generalize it for arbitrary dominant endomorphism by defining the height expansion and contraction coefficients.

Full work available at URL: https://arxiv.org/abs/1008.2394

zbMATH Keywords

heightNorthcott's theoremdominant endomorphism

Mathematics Subject Classification ID

Heights (11G50) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) 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 (3)

Growth of Local Height Functions Along Orbits of Self-Morphisms on Projective Varieties ⋮ Title not available (Why is that?) ⋮ A Gelfand-Beurling type formula for heights on endomorphism rings

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