Extensions without simple ramification of a local field
β Scribed by I. G. Zel'venskii
- Publisher
- Springer US
- Year
- 1976
- Tongue
- English
- Weight
- 188 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1573-8795
No coin nor oath required. For personal study only.
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.