The Galois representations associated to a Drinfeld module in special characteristic. III: Image of the group ring

DOI10.1016/j.jnt.2005.04.012zbMath1173.11038OpenAlexW2064432996MaRDI QIDQ818064

Richard Pink, Matthias Traulsen

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.2005.04.012

zbMATH Keywords

Galois representationDrinfeld modulesTate module\(t\)-motives

Mathematics Subject Classification ID

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

Related Items

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 ⋮ Finding endomorphisms of Drinfeld modules

Cites Work

• Semi-simplicity of the Galois representations attached to Drinfeld modules over fields of ``infinite characteristics
• The Galois representations associated to a Drinfeld module in special characteristic. I: Zariski density
• The Galois representations associated to a Drinfeld module in special characteristic. II: Openness
• La conjecture de Weil. II
• Finiteness theorems in geometric classfield theory. (With an appendix by Kenneth A. Ribet)
• Finiteness of an isogeny class of Drinfeld modules -- correction to a previous paper
• The Mumford-Tate conjecture for Drinfeld-modules
• Semisimplicity of the Galois representations attached to Drinfeld modules over fields of ``finite characteristics
• The isogeny conjecture for \(t\)-motives associated to direct sums of Drinfeld modules
• Galois properties of points of finite order of elliptic curves
• Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)
• The Tate Conjecture for t-Motives
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