A formal approach "à la Neukirch" of $\ell$-adic class field theory
type: Dataset
description: 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.
issued: 2026-05-12T00:36:00.781181
language: en
modified: 2026-05-12T00:36:00.781186
contact point: Organization
  fn: CCSD
keyword: 11r37
keyword: class-field-theory
keyword: infoeu-reposemanticspreprint
keyword: mathmath-ntmathematics-mathnumber-theory-mathnt
keyword: preprints-working-papers-
landing page: https://hal.science/hal-00749232

A formal approach "à la Neukirch" of $\ell$-adic class field theory
type: Distribution
format: HTML
issued: 2026-05-12T00:36:00.796691
modified: 2026-05-12T00:36:00.769344
access URL: https://hal.science/hal-00749232

test_moissonnage_selune
type: Agent