Galois modules arising from Faltings's strict modules

Details Galois modules arising from Faltings's strict modules Galois modules arising from Faltings's strict modules

2004-03-31

arxiv.org/abs/math/0403542v1

Mathematics

Number Theory

19 pages

Scientific paper

Suppose O is a complete discrete valuation ring of positive characteristic with perfect residue field. The category of finite flat strict modules was introduced recently by Faltings and appears as an equal characteristic analogue of the classical category of finite flat group schemes. In this paper we obtain a classification of these modules and apply it to prove analogues of properties, which were known earlier for group schemes.

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