The Galois group of a Galois extension of local fields with an inseparable residue class field extension has two intertwined filtrations with ramification groups. This note contains some elementary results on the structure of these filtrations, that are similar to those given by J.-P. Serre in "Corp
Ramification of local fields with imperfect residue fields III
β Scribed by Takeshi Saito
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 231 KB
- Volume
- 352
- Category
- Article
- ISSN
- 0025-5831
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π SIMILAR VOLUMES
Let k be a perfect field of characteristic p and let # # Aut(k((t))). Define the ramification numbers of # by i m =v t (# p m (t)&t)&1. We give a characterization of the sequences (i m ) which are the sequences of ramification numbers of infinite order automorphisms of formal power series fields ove
In this paper, we analyze ramification in the sense of Abbes-Saito of a finite flat group scheme over the ring of integers of a complete discrete valuation field of mixed characteristic (0, p). We deduce that its Galois representation depends only on its reduction modulo explicitly computed p-power.