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

Abrashkin, Victor

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
• Electronic ISSN: 2118-8572
• Publisher: Institut Mathematiques de Bordeaux
• Peer Reviewed: Peer Reviewed
• Volume: 16
• Issue: 2
• Pages: 293-333
• Public URL: https://durham-repository.worktribe.com/output/1591522
• Publisher URL: http://almira.math.u-bordeaux1.fr/jtnb/2004-2/jtnb16-2_english.html#jourelec