Characteristic p analogue of modules with finite crystalline height

Abrashkin, Victor

doi:10.4310/pamq.2009.v5.n1.a14

Characteristic p analogue of modules with finite crystalline height

Abrashkin, Victor

Authors

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

Abstract

In the case of local fields of positive characateristic we introduce an analogue of Fontaine's concept of Galois modules with finite crystalline height h. If h=1 these modules appear as geometric points of Faltings's strict modules. We obtain upper estimates for the largest upper ramification numbers of these modules and prove that these estimates are sharp.

Citation

Abrashkin, V. (2009). Characteristic p analogue of modules with finite crystalline height. Pure and Applied Mathematics Quarterly, 5(1), 469-494. https://doi.org/10.4310/pamq.2009.v5.n1.a14

Journal Article Type	Article
Publication Date	Jan 1, 2009
Deposit Date	Feb 21, 2011
Publicly Available Date	Feb 22, 2011
Journal	Pure and Applied Mathematics Quarterly
Print ISSN	1558-8599
Electronic ISSN	1558-8602
Publisher	International Press
Peer Reviewed	Peer Reviewed
Volume	5
Issue	1
Pages	469-494
DOI	https://doi.org/10.4310/pamq.2009.v5.n1.a14
Keywords	Local fields, Ramification filtration, Crystalline representations, Anderson motives.
Publisher URL	http://www.intlpress.com/JPAMQ/PAMQ-BrowseJournal.php

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Copyright © International Press. First published in Pure and applied mathematics quarterly 5 (1) 2009, published by International Press.