Canonical heights and monomial maps: on effective lower bounds for points with dense orbit

DOI10.1016/j.jnt.2019.05.013zbMath1436.37102arXiv1708.00951OpenAlexW2957690027MaRDI QIDQ2322911

Jorge Mello

Publication date: 5 September 2019

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.00951

zbMATH Keywords

multiplicative groupsdynamical degreepreperiodic pointsBaker's theoremcanonical heightseffective lower bounds

Mathematics Subject Classification ID

Rational and birational maps (14E05) Heights (11G50) Arithmetic dynamics on general algebraic varieties (37P55) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30)

Cites Work

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• Canonical height functions for affine plane automorphisms
• CANONICAL HEIGHT FUNCTIONS FOR MONOMIAL MAPS
• Canonical heights, invariant currents, and dynamical eigensystems of morphisms for line bundles
• Dynamical degree, arithmetic entropy, and canonical heights for dominant rational self-maps of projective space
• Corrigendum to ‘Degree-growth of monomial maps’ (Ergodic Theory and Dynamical Systems 27(5) (2007), 1375–1397)

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