Dynamical Uniform Bounds for Fibers and a Gap Conjecture

DOI10.1093/imrn/rnz257zbMath1479.37102arXiv1906.08683OpenAlexW2988024662WikidataQ123179508 ScholiaQ123179508MaRDI QIDQ3382598

Dragos Ghioca, Matthew Satriano, Jason P. Bell

Publication date: 21 September 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.08683

zbMATH Keywords

Weil heightdynamical Mordell-Lang conjecturealgebraic pointsétale maps

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Arithmetic properties of periodic points (37P35) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30)

Related Items (5)

A fusion variant of the classical and dynamical Mordell-Lang conjectures in positive characteristic ⋮ D-finiteness, rationality, and height. II: Lower bounds over a set of positive density ⋮ D-finiteness, rationality, and height. III: Multivariate Pólya-Carlson dichotomy ⋮ Height gap conjectures, \(D\)-finiteness, and a weak dynamical Mordell-Lang conjecture ⋮ Rational dynamical systems, \(S\)-units, and \(D\)-finite power series

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