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arXiv · 1211.1476

A formal approach "à la Neukirch" of $\ell$-adic class field theory

Stéphanie Reglade
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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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Stéphanie Reglade. 2013-03-28. A formal approach "à la Neukirch" of $\ell$-adic class field theory. https://arxiv.org/abs/1211.1476

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