Une borne pour l'action de l'inertie sauvage sur la torsion d'un module de Drinfeld. (A bound for the wild inertia action on the torsion of a Drinfeld module)

DOI10.1007/s00013-002-8310-5zbMath1019.11015OpenAlexW2383653930MaRDI QIDQ1849710

Francis Gardeyn

Publication date: 1 December 2002

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-002-8310-5

zbMATH Keywords

upper boundDrinfeld moduleglobal function fieldGalois module structuretorsion pointsskew polynomial ringChebotarev density theoremdifferents of Galois extensionswild inertia

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items

Artin's conjecture for Drinfeld modules ⋮ An average Chebotarev density theorem for generic rank 2 Drinfeld modules with complex multiplication ⋮ Primitive submodules for Drinfeld modules ⋮ EXPLICIT SURJECTIVITY RESULTS FOR DRINFELD MODULES OF RANK 2 ⋮ A prime analogue Erdős-Pomerance result for Drinfeld modules with arbitrary endomorphism rings ⋮ Newton polygons, successive minima, and different bounds for Drinfeld modules of rank $2$ ⋮ GAUSSIAN LAWS ON DRINFELD MODULES ⋮ Cyclicity of Drinfeld modules ⋮ Obstructions to reciprocity laws related to division fields of Drinfeld modules