Sur la classification de quelques phi-modules simples

Xavier Caruso (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

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.

Mots clés: phi-modules

Domaines: Théorie des nombres [math.NT]

Xavier Caruso. Sur la classification de quelques phi-modules simples. Moscow Mathematical Journal, 2009, 9 (3), pp.562-568. ⟨hal-00294979⟩