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:||PDF - Published Version (541Kb)|
|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|
|Record Created:||27 Aug 2008|
|Last Modified:||06 Sep 2011 16:34|
|Social bookmarking:||Export: EndNote, Zotero | BibTex|
|Usage statistics||Look up in GoogleScholar | Find in a UK Library|