Ramification Theory for Valuations of Arbitrary Rank
Canadian journal of mathematics, Tome 26 (1974) no. 4, pp. 908-916
Voir la notice de l'article provenant de la source Cambridge University Press
Throughout, we consider a finite Galois extension L|K of non-archimedian valued fields which are maximally complete [2, Chapter 2], Let v denote the valuation on L and let L* denote the group of non-zero elements of L. We mayidentify the value group v(L*) of L with a subgroup of D, where D denotes the minimal divisible ordered group containing v(K*). We denote the residue field of L by , and will always assume that the field extension is separable. The characteristic of will invariably be denoted by p ; much of what follows is trivial in case p = 0.
Marshall, Murray A. Ramification Theory for Valuations of Arbitrary Rank. Canadian journal of mathematics, Tome 26 (1974) no. 4, pp. 908-916. doi: 10.4153/CJM-1974-085-9
@article{10_4153_CJM_1974_085_9,
author = {Marshall, Murray A.},
title = {Ramification {Theory} for {Valuations} of {Arbitrary} {Rank}},
journal = {Canadian journal of mathematics},
pages = {908--916},
year = {1974},
volume = {26},
number = {4},
doi = {10.4153/CJM-1974-085-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1974-085-9/}
}
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