Cogalois theory and drinfeld modules

DOI10.1142/S0219498820500012WikidataQ114614771 ScholiaQ114614771MaRDI QIDQ5107133

Julio Cesar Salas-Torres, Marco Sánchez-Mirafuentes, Gabriel Daniel Villa-Salvador

Publication date: 23 April 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.02841

zbMATH Keywords

cyclotomic function fieldsDrinfeld modulescogalois theorycogalois groupstorsion in Drinfeld modules

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Galois theory (11R32) Cyclotomic function fields (class groups, Bernoulli objects, etc.) (11R60) Cyclotomic extensions (11R18)

Cites Work

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• Radical extensions for the Carlitz module
• Carlitz-Kummer function fields
• A Galois correspondence for radical extensions of fields
• Canonical heights and Drinfeld modules
• Torsion in rank 1 Drinfeld modules and the uniform boundedness conjecture
• On the uniform boundedness conjecture for Drinfeld modules
• Torsion points in families of Drinfeld modules
• Some remarks on the theory of cyclotomic function fields

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