arXiv subjects

Stéphanie Reglade

Publications and source records attributed to Stéphanie Reglade.

2 recordsLinked to original sources

arXiv2015

Le symbole de Hasse logarithmique

In this article, we define the logarithmic Hasse symbol in the same way as the usual one but in the context of the logarithmic ramification. We study its fondamental properties. The interesting point is that we get an expression of the defect of the â-adic Hasse principle. Then we study particular cases and get a logarithmic version of the principal ideal theorem.

math.NT↗

arXiv2013

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

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.

math.NT↗