Transversal crystals of finite level
Annales de l'Institut Fourier, Volume 47 (1997) no. 1, pp. 69-100.

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.

Après avoir étendu au contexte des cristaux de niveau m de Berthelot les notions de T-cristal et de F-span de Ogus, nous étudions la généralisation d’un théorème de Ogus sur l’équivalence entre T-cristaux et F-spans d’épaisseur strictement inférieure à p.

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Stum, Bernard Le; Quirós, Adolfo. Transversal crystals of finite level. Annales de l'Institut Fourier, Volume 47 (1997) no. 1, pp. 69-100. doi : 10.5802/aif.1560. http://www.numdam.org/articles/10.5802/aif.1560/

[B1] P. Berthelot, Cohomologie cristalline des schémas de caractéristique p>0, Lecture Notes in Math., 407, Springer Verlag (1974). | MR | Zbl

[B2] P. Berthelot, Cohomologie rigide et théorie des D-modules, Proc. Conf. p-adic Analysis (Trento 1989), Lecture notes in Math., 1454, Springer-Verlag (1990). | MR | Zbl

[B3] P. Berthelot, Letter to Luc Illusie, 1990.

[B4] P. Berthelot, D-modules arithmétiques I : Opérateurs différentiels de niveau fini, Ann. Scient. Éc. Norm. Sup., 29, 4e série (1996), 185-272. | EuDML | Numdam | MR | Zbl

[B5] P. Berthelot, D-modules arithmétiques II : Descente par Frobenius, work in progress. | Numdam | Zbl

[BO] P. Berthelot, A. Ogus, Notes on crystalline cohomology, Princeton University Press, 1978. | MR | Zbl

[K] N. Katz, Nilpotent connexions and the monodromy theorem : applications of a result of Turritin, Publ. Math. I.H.E.S, 39 (1970), 355-412. | EuDML | Numdam | MR | Zbl

[O1] A. Ogus, F-Crystals and Griffiths Transversality, Proc. Int. Symp. on Algebraic Geometry, Kyoto 1977 (1977), 15-44. | MR | Zbl

[O2] A. Ogus, F-Crystals, Griffiths Transversality, and the Hodge decomposition, Astérisque, 221 (1994). | MR | Zbl

[Q] A. Quirós, On the divisibility preperties of families of filtered F-crystals, Math. Ann., 288 (1990), 389-412. | EuDML | MR | Zbl

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