Professor Victor Abrashkin victor.abrashkin@durham.ac.uk
Professor
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.
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 |
Electronic ISSN | 2118-8572 |
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. |
Public URL | https://durham-repository.worktribe.com/output/1512017 |
Publisher URL | http://jtnb.cedram.org/jtnb-bin/item?id=JTNB_2010__22_1_1_0 |
Ramification Filtration and Differential Forms
(2022)
Journal Article
Groups of automorphisms of local fields of period p^M and nilpotent class < p
(2016)
Journal Article
Groups of automorphisms of local fields of period p and nilpotent class < p, I
(2017)
Journal Article
Projective Varieties with Bad Semi-stable Reduction at 3 Only
(2013)
Journal Article
Group schemes of period 2
(2014)
Journal Article
About Durham Research Online (DRO)
Administrator e-mail: dro.admin@durham.ac.uk
This application uses the following open-source libraries:
Apache License Version 2.0 (http://www.apache.org/licenses/)
Apache License Version 2.0 (http://www.apache.org/licenses/)
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search