Ramification of local fields with imperfect residue fields
Algebraic Geometry
2007-05-23 v2 Number Theory
Abstract
Classically the ramification filtration of the Galois group of a complete discrete valuation field is defined in the case where the residue field is perfect. In this paper, we define without any assumption on the residue field, two ramification filtrations and study some of their properties.
Keywords
Cite
@article{arxiv.math/0010103,
title = {Ramification of local fields with imperfect residue fields},
author = {Ahmed Abbes and Takeshi Saito},
journal= {arXiv preprint arXiv:math/0010103},
year = {2007}
}
Comments
Extended and corrected version