English

Frobenius and non logarithmic ramification

Number Theory 2015-01-28 v2

Abstract

A \ell-extension is said logarithmically unramified if it is locally cyclotomic. The purpose of this article is to explain the construction of the logarithmic Frobenius, which plays the role usually played by the classical Frobenius, but in the context of the logarithmic ramification.The interesting point is that usual and logarithmic Frobenius coincide when usual and logarithmic ramification are the same.

Keywords

Cite

@article{arxiv.1406.1145,
  title  = {Frobenius and non logarithmic ramification},
  author = {Stéphanie Réglade},
  journal= {arXiv preprint arXiv:1406.1145},
  year   = {2015}
}
R2 v1 2026-06-22T04:30:52.793Z