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Characteristic p analogue of modules with finite crystalline height.

Abrashkin, Victor (2009) 'Characteristic p analogue of modules with finite crystalline height.', Pure and applied mathematics quarterly., 5 (1). pp. 469-494.

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.

Item Type:Article
Keywords:Local fields, Ramification filtration, Crystalline representations, Anderson motives.
Full text:PDF - Published Version (234Kb)
Status:Peer-reviewed
Publisher Web site:http://www.intlpress.com/JPAMQ/PAMQ-BrowseJournal.php
Publisher statement:Copyright © International Press. First published in Pure and applied mathematics quarterly 5 (1) 2009, published by International Press.
Record Created:21 Feb 2011 09:50
Last Modified:22 Feb 2011 09:39

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