Carlitz-Kummer function fields

DOI10.1016/0022-314X(90)90068-3zbMath0712.11067OpenAlexW2017655981MaRDI QIDQ923622

Fred Schultheis

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0022-314x(90)90068-3

zbMATH Keywords

Carlitz moduleDrinfeld modulecyclotomic function fieldramificationadditive Kummer theoryfactorization of primes in Carlitz-Kummer extensionsKummer duality

Mathematics Subject Classification ID

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

Related Items (4)

On explicit reciprocity laws for the local Carlitz-Kummer symbols ⋮ Carlitz modules and Galois module structure. II ⋮ Radical extensions for the Carlitz module ⋮ Cogalois theory and drinfeld modules

Cites Work

• The class number of cyclotomic function fields
• Explicit Class Field Theory for Rational Function Fields

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