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Log-cristaux et surconvergence

Bernard Le StumFabien Trihan — 2001

Annales de l’institut Fourier

Nous montrons comment on peut construire en toute généralité un F -isocristal surconvergent à partir d’un F -log-cristal sur un log-schéma au-dessus du point trivial. Nous étudions ensuite les propriétés de cette construction.

Transversal crystals of finite level

Bernard Le StumAdolfo Quirós — 1997

Annales de l'institut Fourier

We extend Ogus’notion of T -crystal and F -span to the context of Berthelot’s crystals of level m and we study the generalization of Ogus’theorem on the equivalence between T -crystals and F -spans of width less than p .

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