Sur la classification de quelques phi-modules simples

Abstract : 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
Document type :
Journal articles
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Contributor : Xavier Caruso <>
Submitted on : Thursday, July 10, 2008 - 8:43:06 PM
Last modification on : Thursday, November 15, 2018 - 11:56:34 AM
Document(s) archivé(s) le : Friday, May 28, 2010 - 11:25:24 PM


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  • HAL Id : hal-00294979, version 1
  • ARXIV : 0807.1719


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



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