On refined ramification filtrations in the equal characteristic case.

Authors: Liang Xiao
Subjects: Number Theory
link: http://arxiv.org/abs/0911.1802
Abstract

Let k be a complete discretely valued field of equal characteristic p. We
introduce the differential refined conductors for a representation of the
Galois group G with finite local monodromy. we prove that the differential
refined Swan conductors coincide with the ones defined by Saito. Also, we study
its relation with the toroidal variation of Swan conductors.