A formal approach "à la Neukirch" of ℓ-adic class field theory

2012/11/07 by Stéphanie Reglade, Reglade, Stéphanie
Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1211.1476

openalex publication_date 2012/11/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Neukirch developed abstract class field theory in his famous book "Class Field Theory". We show that it is possible to derive Jaulent's '-adic class field from Neukirch's framework. The proof requires in both cases (local case and global case) to define suitable degree maps, G-modules, valuations and to prove the class field axiom.

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