Sur la classification de quelques phi-modules simples

Details Sur la classification de quelques phi-modules simples Sur la classification de quelques phi-modules simples

2008-07-10

arxiv.org/abs/0807.1719v1

Mathematics

Number Theory

5 pages

Scientific paper

This note is an appendix to a preprint by E. Hellmann. We give a complete classification of simple objects of the category of vector spaces D over K = Fpbar((u)) equipped with an endomorphism phi whose image generates D and that are semi-linear with respect to the ring morphism sending u to u^b (b > 1 is an integer) and acting on elements of k through a fixed automorphism. Some of these phi-modules are involved in the classification of finite flat group schemes over ring of integers of p-adic fields.

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