𝔖 Bobbio Scriptorium
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Extensions without simple ramification of a local field

✍ Scribed by I. G. Zel'venskii


Publisher
Springer US
Year
1976
Tongue
English
Weight
188 KB
Volume
6
Category
Article
ISSN
1573-8795

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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

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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.