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Ramification estimate for Fontaine-Laffaille Galois modules.

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


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
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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.
Date accepted:30 November 2014
Date deposited:09 March 2015
Date of first online publication:16 January 2015
Date first made open access:No date available

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