Characteristic p analogue of modules with finite crystalline height

Abrashkin, Victor

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.
• Public URL: https://durham-repository.worktribe.com/output/1534378
• Publisher URL: http://www.intlpress.com/JPAMQ/PAMQ-BrowseJournal.php