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F-isocrystals and de Rham cohomology. I

Inventiones mathematicae volume 72, pages 159–199 (1983)Cite this article

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References

  1. Berthelot, P.: Cohomologie cristalline des schémas de caractéristiquep>0. Lecture Notes in Math. vol. 407. Berlin-Heidelberg-New York: Springer 1974

    Google Scholar 

  2. Berthelot, P., Illusie, L.: Classes de Chern en cohomologie cristalline I et II. C.R. Acad. Sc. Paris270, série A, 1695 and 1750 (1970)

    Google Scholar 

  3. Berthelot, P., Ogus, A.: Notes on crystalline cohomology. Math. Notes, vol. 21. Princeton University Press (1978)

  4. Berthelot, P., Messing, W.: Théorie de Dieudonné cristalline I. In: Journées de Géométrie Algébrique de Rennes 1978, Astérisque63, 17–37 (1979)

  5. Berthelot, P., Breen, L., Messing, W.: Théorie de Dieudonné cristalline II, Lecture Notes in Math.930, Springer 1982

  6. Deligne, P.: Hodge cycles on abelian varieties (notes by J.S. Milne). In: Hodge cycles, motives, and Shimura varieties. Lecture Notes in Math. vol. 900. Berlin-Heidelberg-New York: Springer 1982

    Google Scholar 

  7. Deligne, P., Illusie, L.: Cristaux ordinaires et coordonnées canoniques, in Surfaces algébriques, Lecture Notes in Math.868, Springer 1981

  8. Dwork, B.: Normalized period matrices I. Ann. of Math.94, 377–388 (1971)

    Google Scholar 

  9. Dwork, B.: Normalized period matrices II. Ann. of Math.98, 1–57 (1973)

    Google Scholar 

  10. Gillet, H., Messing, W.: Riemann-Roch and cycle classes in crystalline cohomology (to appear)

  11. Grothendieck, A.: Crystals and the De Rham cohomology of schemes (notes by J. Coates and O. Jussila). In: Dix exposés sur la cohomologie des schémas. North-Holland 1968

  12. Hartshorne, R.: On the De Rham cohomology of algebraic varieties. Publ. Math. I.H.E.S.45, 6–98 (1975)

    Google Scholar 

  13. Katz, N.: Travaux de Dwork. In: Séminaire Bourbaki 1971–72, exposé 409. Lecture Notes in Math. vol. 317, 167–200 (1973)

  14. Mazur, B.: Rational isogenies of prime degree. Invent. Math.44, 129–162 (1978)

    Google Scholar 

  15. Messing, W.: The crystals associated to Barsotti-Tate groups. Lecture Notes in Math vol. 264. Berlin-Heidelberg-New York: Springer 1972

    Google Scholar 

  16. Norman, P.: Lifting abelian varieties. Invent. Math.64, (1981)

  17. Ogus, A.:F-crystals and Griffiths transversality. In: Proceedings of the International Symposium on Algebraic Geometry at Kyoto 1977. Kinokuniya 1978

  18. Ogus, A.: Supersingular K3 crystals. In: Journées de Géométrie Algébrique de Rennes 1978. Astérisque64, 3–87 (1979)

  19. Ogus, A.: Griffiths transversality in crystalline cohomology. Ann. of Math.108, 395–419 (1978)

    Google Scholar 

  20. Ogus, A.: Hodge cycles and crystalline cohomology. In: Hodge cycles, motives and Shimura Varieties. Lecture Notes in Math. vol. 900. Berlin-Heidelberg-New York: Springer 1982

    Google Scholar 

  21. Saavedra Rivano, N.: Catégories tannakiennes. Lecture Notes in Math. vol. 265. Berlin-Heidelberg-New York: Springer 1972

    Google Scholar 

  22. Serre, J-P.: Groupesp-divisibles. In: Séminaire Bourbaki 1966–67, exposé 318, Benjamin

  23. Serre, J-P., Tate, J.: Good reduction of abelian varieties. Ann. of Math.88, 492–517 (1968)

    Google Scholar 

  24. Tate, J.:p-divisible groups. In: Proc. Conf. on Local Fields. Nuffic Summer School at Driebergen. Berlin-Heidelberg-New York: Springer 1967

    Google Scholar 

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Authors and Affiliations

  1. U.E.R. de Mathématiques, Université de Rennes, Campus de Beaulieu, F-35042, Rennes Cedex, France

    P. Berthelot

  2. Department of Mathematics, University of California, 94720, Berkeley, CA, USA

    A. Ogus

Authors
  1. P. Berthelot
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  2. A. Ogus
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Laboratoire Associé au C.N.R.S. no 305; partially supported by N.S.F. grant no MCS80-23848

Partially supported by N.S.F. grant no MCS82-02651 and the Sloan Foundation

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Berthelot, P., Ogus, A. F-isocrystals and de Rham cohomology. I. Invent Math 72, 159–199 (1983). https://doi.org/10.1007/BF01389319

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