A formal approach "à la Neukirch" of $\ell$-adic class field theory
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | REGLADE, Stéphanie | |
dc.date.accessioned | 2024-04-04T02:22:22Z | |
dc.date.available | 2024-04-04T02:22:22Z | |
dc.date.created | 2013-01-23 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189645 | |
dc.description.abstractEn | 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. | |
dc.language.iso | en | |
dc.subject.en | Class field theory | |
dc.title.en | A formal approach "à la Neukirch" of $\ell$-adic class field theory | |
dc.type | Document de travail - Pré-publication | |
dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
dc.identifier.arxiv | 1211.1476 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
hal.identifier | hal-00749232 | |
hal.version | 1 | |
hal.audience | Non spécifiée | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00749232v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=REGLADE,%20St%C3%A9phanie&rft.genre=preprint |
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