The Galois representations associated to a Drinfeld module in special characteristic. I: Zariski density

DOI10.1016/j.jnt.2005.04.010zbMath1173.11036OpenAlexW2027766509MaRDI QIDQ818061

Richard Pink

Publication date: 24 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2005.04.010

zbMATH Keywords

Galois representationDrinfeld moduleTate module\(t\)-motive

Mathematics Subject Classification ID

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

Related Items

The Galois representations associated to a Drinfeld module in special characteristic. II: Openness ⋮ The Galois representations associated to a Drinfeld module in special characteristic. III: Image of the group ring ⋮ Height and torsion of rank-2 Drinfield modules ⋮ Adelic openness for Drinfeld modules in special characteristic ⋮ The isogeny conjecture for \(A\)-motives ⋮ Newton polygons, successive minima, and different bounds for Drinfeld modules of rank $2$ ⋮ The isogeny conjecture for \(t\)-motives associated to direct sums of Drinfeld modules ⋮ Image of the group ring of the Galois representation associated to Drinfeld modules

Cites Work

• \(t\)-motives
• Quelques applications du théorème de densité de Chebotarev
• Determining representations from invariant dimensions
• The Mumford-Tate conjecture for Drinfeld-modules
• Semisimplicity of the Galois representations attached to Drinfeld modules over fields of ``finite characteristics
• ELLIPTIC MODULES
• ELLIPTIC MODULES. II
• The Tate Conjecture for t-Motives
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