Exceptional cases of adelic surjectivity for Drinfeld modules of rank 2

DOI10.4064/aa210405-23-11zbMath1501.11064arXiv2108.12656OpenAlexW3198761691MaRDI QIDQ5070105

Chien-Hua Chen

Publication date: 19 April 2022

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.12656

zbMATH Keywords

Drinfeld modulesGalois representations

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Galois theory (11R32) Class field theory (11R37) Cyclotomic function fields (class groups, Bernoulli objects, etc.) (11R60) Drinfel'd modules; higher-dimensional motives, etc. (11G09)

Uses Software

• Magma

Cites Work

• Adelic openness for Drinfeld modules in generic characteristic
• The Magma algebra system. I: The user language
• Drinfeld modular curve and Weil pairing
• Galois properties of points of finite order of elliptic curves
• Explicit Class Field Theory for Rational Function Fields
• On the automorphisms of the classical groups. With a supplement by Loo-Keng Hua

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