zbMATH — the first resource for mathematics

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
Full Text: DOI EuDML
[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 · doi:10.2307/1970865
[9] Dwork, B.: Normalized period matrices II. Ann. of Math.98, 1-57 (1973) · Zbl 0265.14008 · doi:10.2307/1970905
[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 · doi:10.1007/BF01390348
[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 · doi:10.2307/1971182
[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 · doi:10.2307/1970722
[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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.