Diophantine problems over \(t\)-modules

DOI10.5802/jtnb.133zbMath0842.11026OpenAlexW2323385177MaRDI QIDQ1909867

Laurent Denis

Publication date: 24 March 1996

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_1995__7_1_97_0

zbMATH Keywords

Carlitz moduleopen problemsWeil heightcanonical heightFermat familiesgeometric Fermat equations

Mathematics Subject Classification ID

Drinfel'd modules; higher-dimensional motives, etc. (11G09)

Related Items (3)

Some examples toward a Manin-Mumford conjecture for abelian uniformizable \(T\)-modules ⋮ Height and torsion of rank-2 Drinfield modules ⋮ The Mordell-Weil theorem for certain 𝑡-modules

Cites Work

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• Tensor powers of the Carlitz module and zeta values
• Transcendence and special zeta values in characteristic p
• \(t\)-motives
• On a Fermat equation arising in the arithmetic theory of functions fields
• Harmonic analysis and the flow of a Drinfeld module
• Canonical heights and Drinfeld modules
• On the difference of the Weil height and the Neron-Tate height
• Explicit Class Field Theory for Rational Function Fields
• ELLIPTIC MODULES
• Le Theoreme de Fermat-Goss

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