Image of the group ring of the Galois representation associated to Drinfeld modules

DOI10.1016/j.jnt.2008.12.003zbMath1246.11121OpenAlexW2034223806MaRDI QIDQ1011667

Egon Rütsche, Richard Pink

Publication date: 9 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2008.12.003

zbMATH Keywords

Drinfeld modulesGalois representationstorsion points

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Drinfel'd modules; higher-dimensional motives, etc. (11G09)

Related Items (9)

Height and torsion of rank-2 Drinfield modules ⋮ Surjectivity of the adelic Galois representation associated to a Drinfeld module of rank 3 ⋮ Adelic openness for Drinfeld modules in special characteristic ⋮ Primitive submodules for Drinfeld modules ⋮ Congruences of Galois representations attached to effective A-motives over global function fields ⋮ The isogeny conjecture for \(A\)-motives ⋮ EXPLICIT SURJECTIVITY RESULTS FOR DRINFELD MODULES OF RANK 2 ⋮ On a reduction map for Drinfeld modules ⋮ Adelic openness for Drinfeld modules in generic characteristic

Cites Work

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• 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
• The Galois representations associated to a Drinfeld module in special characteristic. III: Image of the group ring
• Adelic openness for Drinfeld modules in generic characteristic
• 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
• On \(\varphi\)-modules
• Galois properties of points of finite order of elliptic curves
• ELLIPTIC MODULES
• The Tate Conjecture for t-Motives

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