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.
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.
|Keywords:||Anabelian conjecture, Ramification filtration, Higher dimensional local fields.|
|Full text:||(VoR) Version of Record|
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|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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