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Towards explicit description of the ramification filtration in the 2-dimensional case

Abrashkin, Victor

Authors



Abstract

The principal result of this paper is an explicit description of the structure of ramification subgroups of the Galois group of 2-dimensional local field modulo its subgroup of commutators of order 3. This result plays a clue role in the author's proof of an analogue of the Grothendieck Conjecture for higher dimensional local fields, cf. Proc. Steklov Math. Institute, vol. 241, 2003, pp. 2-34.

Citation

Abrashkin, V. (2004). Towards explicit description of the ramification filtration in the 2-dimensional case. Journal de théorie des nombres de Bordeaux, 16(2), 293-333

Journal Article Type Article
Publication Date 2004
Deposit Date Feb 22, 2008
Journal Journal de théorie des nombres de Bordeaux
Print ISSN 1246-7405
Publisher Institut Mathematiques de Bordeaux
Peer Reviewed Peer Reviewed
Volume 16
Issue 2
Pages 293-333
Publisher URL http://almira.math.u-bordeaux1.fr/jtnb/2004-2/jtnb16-2_english.html#jourelec