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Characteristic p analogue of modules with finite crystalline height.

By Victor Abrashkin

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

Topics: Local fields, Ramification filtration, Crystalline representations, Anderson motives.
Publisher: International Press
Year: 2009
OAI identifier: oai:dro.dur.ac.uk.OAI2:8013
Journal:

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