A variant of Siegel's theorem for Drinfeld modules

DOI10.1016/j.jnt.2020.04.001zbMath1469.11219OpenAlexW3026851747MaRDI QIDQ784710

Simone Coccia, Dragos Ghioca

Publication date: 3 August 2020

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2020.04.001

zbMATH Keywords

Diophantine approximationDrinfeld moduleheights

Mathematics Subject Classification ID

Drinfel'd modules; higher-dimensional motives, etc. (11G09) Heights (11G50) Approximation to algebraic numbers (11J68)

Related Items (2)

Collision of orbits for a one-parameter family of Drinfeld modules ⋮ Zariski dense orbits for endomorphisms of a power of the additive group scheme defined over finite fields

Cites Work

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• Equidistribution for torsion points of a Drinfeld module
• The Lehmer inequality and the Mordell-Weil theorem for Drinfeld modules
• Periodic points, linearizing maps, and the dynamical Mordell-Lang problem
• Canonical heights and Drinfeld modules
• Equidistribution of small points
• Subvarieties of Shimura varieties
• Diophantine geometry of the torsion of a Drinfeld module
• The local Lehmer inequality for Drinfeld modules
• Siegel's theorem for Drinfeld modules
• The Dynamical Mordell–Lang Conjecture
• Equidistribution and integral points for Drinfeld modules
• The André-Oort conjecture for products of Drinfeld modular curves
• A dynamical version of the Mordell–Lang conjecture for the additive group

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