Abbes, Ahmed; Saito, Takeshi

Ramification of local fields with imperfect residue fields. II

Doc. Math. (Bielefeld) Extra Vol. Kazuya Kato's Fiftieth Birthday, 5-72 (2003)


In Part I [cf. the authors, Am. J. Math. 124, No. 5, 879--920 (2002; Zbl 1084.11064)], 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.

Mathematics Subject Classification

11S15, 14G22


local fields, wild ramification, log structure, affinoid variety