F-crystals, Griffiths transversality, and the Hodge decomposition
Astérisque, no. 221 (1994) , 196 p.
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     author = {Ogus, Arthur},
     title = {F-crystals, {Griffiths} transversality, and the {Hodge} decomposition},
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     publisher = {Soci\'et\'e math\'ematique de France},
     number = {221},
     year = {1994},
     language = {en},
     url = {http://archive.numdam.org/item/AST_1994__221__1_0/}
}
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Ogus, Arthur. F-crystals, Griffiths transversality, and the Hodge decomposition. Astérisque, no. 221 (1994), 196 p. http://numdam.org/item/AST_1994__221__1_0/

[1] Alan Adolphson and Steven Sperber. Exponential sums and Newton polyhedra: Cohomology and estimates. Annals of Mathematics, 130:367-406, 1989.

[2] A. Beilinson, J. Bernstein, and P. Deligne. Faisceaux pervers. Astérisque, 100:5-171, 1982.

[3] Pierre Berthelot. Cohomologie Cristalline des Schémas de Caractéristique p>0, volume 407 of Lecture Notes in Mathematics. Springer Verlag, 1974.

[4] Pierre Berthelot and Arthur Ogus. Notes on Crystalline Cohomology. Annals of Mathematics Studies. Princeton University Press, 1978.

[5] Pierre Deligne. Letter to Illusie. December, 1988.

[6] Pierre Deligne. Théorie de Hodge II. Publications Mathématiques de l'I.H.E.S., 40:5-57, 1972.

[7] Pierre Deligne and Luc Illusie. Relèvements modulo p 2 et décomposition du complexe de de Rham. Inventiones Mathematicae, 89:247-270, 1987.

[8] Torsten Ekedahl. Diagonal Complexes and F-Gauge Structures. Travaux en cours. Hermann, 1986.

[9] Gerd Faltings. Crystalline cohomology and p-adic Galois representations. In Jun-Ichi Igusa, editor, Algebraic Analysis, Geometry, and Number Theory, pages 25-80. The Johns Hopkins University Press, 1989.

[10] Gerd Faltings. Crystalline cohomology on open varieties-results and conjectures. In The Grothendieck Festschrift, volume II, pages 219-248. Birkhauser, 1990.

[11] J.-M. Fontaine and G. Lafaille. Construction de représentations p-adiques. Ann. Sci. de l'E.N.S., 15:547-608, 1982.

[12] Jean-Marc Fontaine and William Messing. P-adic periods and p-adic étale cohomology. In Current Trends in Arithmetical Algebraic Geometry, volume 67 of Contemporary Mathematics. American Mathematical Society, 1985.

[13] Alexander Grothendieck. Sur quelques points d'algebre homologique. Tôhoku Math. J., 9:119-221, 1957.

[14] G. Hochshchild. Simple algebras with purely insperable splitting fields of exponenet p. Trans. A. M. S., 79:477-489, 1955.

[15] Osamu Hyodo and Kazuya Kato. Semi-stable reduction and crystalline cohomology with logarithmic poles. Preprint, 1989.

[16] Luc Illusie. Complexe Cotangent et Déformations I, volume 239 of Lecture Notes in Mathematics. Springer Verlag, 1971.

[17] Luc Illusie. Réduction semi-stable et décomposition de complexe de de Rham à coefficients. Duke Journal of Mathematics, 60(1): 139-185, 1990.

[18] Kazuya Kato. Cohomology of F-gauges. in preparation.

[19] Kazuya Kato. On p-adic vanishing cycles (application of ideas of fontaine-messing). Advanced Studies in Pure Mathematics 10, 1987 Algebraic Geometry, Sendai, 10:207-251, 1985.

[20] Kazuya Kato. Logarithmic structures of Fontaine-Illusie. In Jun-Ichi Igusa, editor, Algebraic Analysis, Geometry, and Number Theory. Johns Hopkins University Press, 1989.

[21] Nicholas Katz. Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin. Publications Mathématiques de l'I.H.E.S., 39:355-412, 1971.

[22] Nicholas Katz. Slope filtration of F-crystals. Astérisque, 63:113-164, 1979.

[23] Barry Mazur. Frobenius and the Hodge filtration-estimates. Annals of Mathematics, 98:58-95, 1973.

[24] Arthur Ogus. F-crystals and Griffiths transversality. In Proceedings of the International Symposium on Algebraic Geometry, Kyoto 1977, pages 15-44. Kinokuniya Book-Store, Co., 1977.

[25] Arthur Ogus. Griffiths transversality in crystalline cohomology. Annals of Mathematics, 108:395-419, 1978.

[26] Arthur Ogus. A crystalline Torelli theorem for supersingular K3 surfaces. In Michael Artin and John Tate, editors, Arithmetic and Geometry, volume II, pages 361-394. Birkhauser, 1983.

[27] Arthur Ogus. F-isocrystals and de Rham cohomology II-convergent isocrystals. Duke Mathematical Journal, 51 (4):765-850, 1984.

[28] Douglas Ulmer. On the Fourier coefficients of modular forms. to appear in Annales Scientifiques de l'Ecole Normale Supérieure.

[29] Jean-Pierre Wintenberger. Un scindage de lafiltrationde Hodge pour certaines variétés algébriques sur les corps locaux. Annals of Mathematics, 119:551-548, 1984.