A formal approach "à la Neukirch" of $\ell$-adic class field theory
Idioma
en
Document de travail - Pré-publication
Resumen en inglés
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 ...Leer más >
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.< Leer menos
Palabras clave en inglés
Class field theory
Orígen
Importado de HalCentros de investigación