Cookies

We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.


Durham Research Online
You are in:

Ramification estimate for Fontaine-Laffaille Galois modules.

Abrashkin, V. (2015) 'Ramification estimate for Fontaine-Laffaille Galois modules.', Journal of algebra., 427 . pp. 319-328.

Abstract

Suppose K is unramified over Qp and View the MathML source. Let H be a torsion ΓK-equivariant subquotient of crystalline Qp[ΓK]-module with HT weights from [0,p−2]. We give a new proof of Fontaine's conjecture about the triviality of action of some ramification subgroups View the MathML source on H. The earlier author's proof from [1] contains a gap and proves this conjecture only for some subgroups of index p in View the MathML source.

Item Type:Article
Keywords:Local field, Galois group, Ramification filtration.
Full text:(AM) Accepted Manuscript
Download PDF
(262Kb)
Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1016/j.jalgebra.2014.11.029
Publisher statement:NOTICE: this is the author’s version of a work that was accepted for publication in Journal of Algebra. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Algebra, 427, 1 April 2015, 10.1016/j.jalgebra.2014.11.029.
Record Created:09 Mar 2015 11:50
Last Modified:09 Mar 2015 15:29

Social bookmarking: del.icio.usConnoteaBibSonomyCiteULikeFacebookTwitterExport: EndNote, Zotero | BibTex
Look up in GoogleScholar | Find in a UK Library