Openness of the Galois image for \(\tau\)-modules of dimension 1.

DOI10.1016/S0022-314X(03)00106-9zbMath1053.11055MaRDI QIDQ1418468

Francis Gardeyn

Publication date: 12 January 2004

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

zbMATH Keywords

Drinfeld modulesGalois representationsSerre conjectureTate modulesPink's theorem

Mathematics Subject Classification ID

Galois representations (11F80) Drinfel'd modules; higher-dimensional motives, etc. (11G09)

Related Items (3)

Newton polygons, successive minima, and different bounds for Drinfeld modules of rank $2$ ⋮ Adelic openness for Drinfeld modules in generic characteristic ⋮ GAUSSIAN LAWS ON DRINFELD MODULES

Cites Work

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• Semi-simplicity of the Galois representations attached to Drinfeld modules over fields of ``infinite characteristics
• \(t\)-motives
• On \(\ell\)-independence of algebraic monodromy groups in compatible systems of representations
• Compact subgroups of linear algebraic groups
• The Mumford-Tate conjecture for Drinfeld-modules
• The structure of analytic \(\tau\)-sheaves.
• A Galois criterion for good reduction of \(\tau\)-sheaves.
• Galois properties of points of finite order of elliptic curves
• The image of the Galois group for some crystalline representations
• The Tate Conjecture for t-Motives
• 𝐿-functions of 𝜑-sheaves and Drinfeld modules

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