Geodesic
Ramification of local fields with imperfect residue fields. II
Documenta mathematica, Kazuya Kato's Fiftieth Birthday (2003), pp. 5-72.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 11S15, 14G22
Keywords: local fields, wild ramification, log structure, affinoid variety 
@article{DOCMA_2003__S6__a23,
     author = {Abbes, Ahmed and Saito, Takeshi},
     title = {Ramification of local fields with imperfect residue fields. {II}},
     journal = {Documenta mathematica},
     pages = {5--72},
     publisher = {mathdoc},
     volume = {Kazuya Kato's Fiftieth Birthday},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2003__S6__a23/}
}
TY  - JOUR
AU  - Abbes, Ahmed
AU  - Saito, Takeshi
TI  - Ramification of local fields with imperfect residue fields. II
JO  - Documenta mathematica
PY  - 2003
SP  - 5
EP  - 72
VL  - Kazuya Kato's Fiftieth Birthday
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DOCMA_2003__S6__a23/
LA  - en
ID  - DOCMA_2003__S6__a23
ER  - 
%0 Journal Article
%A Abbes, Ahmed
%A Saito, Takeshi
%T Ramification of local fields with imperfect residue fields. II
%J Documenta mathematica
%D 2003
%P 5-72
%V Kazuya Kato's Fiftieth Birthday
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DOCMA_2003__S6__a23/
%G en
%F DOCMA_2003__S6__a23
Abbes, Ahmed; Saito, Takeshi. Ramification of local fields with imperfect residue fields. II. Documenta mathematica, Kazuya Kato's Fiftieth Birthday (2003), pp. 5-72. http://geodesic.mathdoc.fr/item/DOCMA_2003__S6__a23/