Abrashkin, V. (2007) 'An analogue of the field-of-norms functor and of the Grothendieck Conjecture.', Journal of algebraic geometry., 16 (4). pp. 671-730.
Abstract
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.
Item Type: | Article |
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Keywords: | Anabelian conjecture, Ramification filtration, Higher dimensional local fields. |
Full text: | (VoR) Version of Record Download PDF (541Kb) |
Status: | Peer-reviewed |
Publisher Web site: | http://www.ams.org/distribution/jag/2007-16-04/S1056-3911-07-00470-5/home.html |
Publisher statement: | First published in Journal of algebraic geometry, 16 (4) 2007, published by the American Mathematical Society |
Date accepted: | No date available |
Date deposited: | 28 May 2008 |
Date of first online publication: | August 2007 |
Date first made open access: | No date available |
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