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Modified proof of a local analogue of the Grothendieck Conjecture

Abrashkin, Victor

Authors



Abstract

A local analogue of the Grothendieck Conjecture is an equivalence of the category of complete discrete valuation fields K with finite residue fields of characteristic p and the category of their Galois groups together with their ramification filtration. The case of field of characteristic 0 was considered earlier by Mochizuki, the the author proved it by differennt method if p>2, but the characteristic of K is not necessarily 0. This paper represents a modified approach, which covers also the case p=2.

Citation

Abrashkin, V. (2010). Modified proof of a local analogue of the Grothendieck Conjecture. Journal de théorie des nombres de Bordeaux, 22(1), 1-50. https://doi.org/10.5802/jtnb.703

Journal Article Type Article
Publication Date Jan 1, 2010
Deposit Date Feb 21, 2011
Journal Journal de théorie des nombres de Bordeaux
Print ISSN 1246-7405
Publisher Institut Mathematiques de Bordeaux
Peer Reviewed Peer Reviewed
Volume 22
Issue 1
Pages 1-50
DOI https://doi.org/10.5802/jtnb.703
Keywords Local fields, Ramification filtration, Grothendieck Conjecture.
Publisher URL http://jtnb.cedram.org/jtnb-bin/item?id=JTNB_2010__22_1_1_0