F-isocrystals and De Rham cohomology. I. (English) Zbl 0516.14017


14F40 de Rham cohomology and algebraic geometry
14F30 \(p\)-adic cohomology, crystalline cohomology
14D20 Algebraic moduli problems, moduli of vector bundles
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[1] Berthelot, P.: Cohomologie cristalline des schémas de caractéristiquep>0. Lecture Notes in Math. vol. 407. Berlin-Heidelberg-New York: Springer 1974 · Zbl 0298.14012
[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) · Zbl 0198.26201
[3] Berthelot, P., Ogus, A.: Notes on crystalline cohomology. Math. Notes, vol. 21. Princeton University Press (1978) · Zbl 0383.14010
[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 · Zbl 0516.14015
[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 · Zbl 0537.14006
[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) · Zbl 0241.14011
[9] Dwork, B.: Normalized period matrices II. Ann. of Math.98, 1-57 (1973) · Zbl 0265.14008
[10] Gillet, H., Messing, W.: Riemann-Roch and cycle classes in crystalline cohomology (to appear) · Zbl 0651.14014
[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) · Zbl 0326.14004
[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) · Zbl 0386.14009
[15] Messing, W.: The crystals associated to Barsotti-Tate groups. Lecture Notes in Math vol. 264. Berlin-Heidelberg-New York: Springer 1972 · Zbl 0243.14013
[16] Norman, P.: Lifting abelian varieties. Invent. Math.64, (1981) · Zbl 0472.14021
[17] Ogus, A.:F-crystals and Griffiths transversality. In: Proceedings of the International Symposium on Algebraic Geometry at Kyoto 1977. Kinokuniya 1978 · Zbl 0427.14007
[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) · Zbl 0382.14005
[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 · Zbl 0538.14010
[21] Saavedra Rivano, N.: Catégories tannakiennes. Lecture Notes in Math. vol. 265. Berlin-Heidelberg-New York: Springer 1972 · Zbl 0241.14008
[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) · Zbl 0172.46101
[24] Tate, J.:p-divisible groups. In: Proc. Conf. on Local Fields. Nuffic Summer School at Driebergen. Berlin-Heidelberg-New York: Springer 1967 · Zbl 0157.27601
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