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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.


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.
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Publisher statement:Copyright © International Press. First published in Pure and applied mathematics quarterly 5 (1) 2009, published by International Press.
Date accepted:No date available
Date deposited:22 February 2011
Date of first online publication:January 2009
Date first made open access:No date available

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