Ramification of local fields with imperfect residue fields III

Abstract

The graded quotients of the logarithmic ramification groups of a local field of mixed characteristic is killed by the residue characteristic. Its characters are described by differential forms.

12 pages. In v2, a reference to a preprint of Liang Xiao is added.

References in corpus (2)

• Wild ramification and the characteristic cycle of an l-adic sheaf
• On Ramification Filtrations and p-adic Differential Equations, II: mixed characteristic case

Cited by in corpus (5)

• On Ramification Filtrations and p-adic Differential Equations, II: mixed characteristic case
• Coincidence of two Swan conductors of abelian characters
• An Example of Wild Ramification in an Enriched Riemann-Hurwitz Formula
• Semi-continuity of conductors, and ramification bound of nearby cycles
• Upper Ramification Groups for Arbitrary Valuation Rings