Displaying similar documents to “The overconvergence of morphisms of etale ϕ - Δ -spaces on a local field”

Slope filtration of quasi-unipotent overconvergent F -isocrystals

Nobuo Tsuzuki (1998)

Annales de l'institut Fourier

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We study local properties of quasi-unipotent overconvergent F -isocrystals on a curve over a perfect field of positive characteristic p . For a φ - ∇ -module over the Robba ring ℛ , we define the slope filtration for Frobenius structures. We prove that an overconvergent F -isocrystal is quasi-unipotent if and only if it has the slope filtration for Frobenius structures locally at every point on the complement of the curve.

Transversal crystals of finite level

Bernard Le Stum, Adolfo Quirós (1997)

Annales de l'institut Fourier

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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 .