A formal approach "à la Neukirch" of $\ell$-adic class field theory
Language
en
Document de travail - Pré-publication
English 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 ...Read more >
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.Read less <
English Keywords
Class field theory
Origin
Hal imported