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Durham University

Department of Mathematical Sciences

Academic Staff

Publication details for Victor Abrashkin

Abrashkin, Victor (2009). Characteristic p analogue of modules with finite crystalline height. Pure and Applied Mathematics Quarterly 5(1): 469-494.

Author(s) from Durham


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.