DOCUMENTA MATHEMATICA, Extra Volume: Kazuya Kato's Fiftieth Birthday (2003), 5-72

Ahmed Abbes and Takeshi Saito

Ramification of Local Fields with Imperfect Residue Fields II

In \cite{as}, a filtration by ramification groups and its logarithmic version are defined on the absolute Galois group of a complete discrete valuation field without assuming that the residue field is perfect. In this paper, we study the graded pieces of these filtrations and show that they are abelian except possibly in the absolutely unramified and non-logarithmic case.

2000 Mathematics Subject Classification: primary 11S15, secondary 14G22

Keywords and Phrases: local fields, wild ramification, log structure, affinoid variety.

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