Professor Victor Abrashkin victor.abrashkin@durham.ac.uk
Professor
The paper contains a construction of an analogue of the Fontaine-Wintenberger field-of-norms functor for higher-dimensional local fields. This construction is done completely in terms of the ramification theory of such fields. It is applied to deduce the mixed characteristic case of a local analogue of the Grothendieck conjecture for these fields from its characteristic $ p$ case, which was proved earlier by the author.
Abrashkin, V. (2007). An analogue of the field-of-norms functor and of the Grothendieck Conjecture. Journal of Algebraic Geometry, 16(4), 671-730. https://doi.org/10.1090/s1056-3911-07-00470-5
Journal Article Type | Article |
---|---|
Publication Date | Aug 1, 2007 |
Deposit Date | Aug 27, 2008 |
Publicly Available Date | Aug 27, 2008 |
Journal | Journal of Algebraic Geometry |
Print ISSN | 1056-3911 |
Electronic ISSN | 1534-7486 |
Publisher | American Mathematical Society |
Peer Reviewed | Peer Reviewed |
Volume | 16 |
Issue | 4 |
Pages | 671-730 |
DOI | https://doi.org/10.1090/s1056-3911-07-00470-5 |
Keywords | Anabelian conjecture, Ramification filtration, Higher dimensional local fields. |
Publisher URL | http://www.ams.org/distribution/jag/2007-16-04/S1056-3911-07-00470-5/home.html |
Published Journal Article
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Copyright Statement
First published in Journal of algebraic geometry, 16 (4) 2007, published by the American Mathematical Society
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