Surjectivity of the adelic Galois representation associated to a Drinfeld module of rank 3

DOI10.1016/j.jnt.2020.06.004zbMath1502.11065OpenAlexW3043777855WikidataQ114157181 ScholiaQ114157181MaRDI QIDQ2127198

Chien-Hua Chen

Publication date: 20 April 2022

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2020.06.004

zbMATH Keywords

Drinfeld modulesimage of Galois representation

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Linear algebraic groups over finite fields (20G40) Abelian varieties of dimension (> 1) (11G10) Drinfel'd modules; higher-dimensional motives, etc. (11G09)

Related Items (1)

Obstructions to reciprocity laws related to division fields of Drinfeld modules

Cites Work

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• Image of the group ring of the Galois representation associated to Drinfeld modules
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• Isogenies of Drinfeld modules over finite fields
• Drinfeld modular curve and Weil pairing
• Galois properties of points of finite order of elliptic curves
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• Compactification of the Drinfeld modular surfaces
• Explicit Class Field Theory for Rational Function Fields
• An open-image theorem for a general class of abelian varieties

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