Ramification estimate for Fontaine-Laffaille Galois modules

Abrashkin, V.

doi:10.1016/j.jalgebra.2014.11.029

Ramification estimate for Fontaine-Laffaille Galois modules

Abrashkin, V.

Authors

Professor Victor Abrashkin victor.abrashkin@durham.ac.uk
Professor

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.

Citation

Abrashkin, V. (2015). Ramification estimate for Fontaine-Laffaille Galois modules. Journal of Algebra, 427, 319-328. https://doi.org/10.1016/j.jalgebra.2014.11.029

Journal Article Type	Article
Acceptance Date	Nov 30, 2014
Online Publication Date	Jan 16, 2015
Publication Date	Apr 1, 2015
Deposit Date	Feb 25, 2015
Publicly Available Date	Mar 9, 2015
Journal	Journal of Algebra
Print ISSN	0021-8693
Publisher	Elsevier
Peer Reviewed	Peer Reviewed
Volume	427
Pages	319-328
DOI	https://doi.org/10.1016/j.jalgebra.2014.11.029
Keywords	Local field, Galois group, Ramification filtration.

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Copyright 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.