Brinon, Olivier; Trihan, Fabien
Représentations cristallines et F-cristaux : le cas d’un corps résiduel imparfait
Rendiconti del Seminario Matematico della Università di Padova, Tome 119 (2008) , p. 141-171
Zbl pre05582425 | MR 2431507
URL stable : http://www.numdam.org/item?id=RSMUP_2008__119__141_0

Bibliographie

[1] P. Berthelot, Théorie de Dieudonné sur un anneau de valuation parfait, Annales Scientifiques de l'ENS 4ème série, t. 13, pp. 225-268, Gauthier-Villars (1980). Numdam | MR 584086 | Zbl 0441.14012

[2] P. Berthelot - L. Breen - W. Messing, Théorie de Dieudonné cristalline II, Lecture Notes in Mathematics 930, x+261, Springer-Verlag (1982). MR 667344 | Zbl 0516.14015

[3] P. Berthelot - W. Messing, Théorie de Dieudonné cristalline III. Théorèmes d'équivalence et de pleine fidélité, The Grothendieck Festschrift, Vol. I, p. 173-247, Progress in Mathematics, 86, Birkhäuser (1990). MR 1086886 | Zbl 0753.14041

[4] C. Breuil, Représentations p-adiques semi-stables et transversalité de Griffiths, Math. Ann., 307, no. 2 (1997), pp. 191-224. MR 1428871 | Zbl 0883.11049

[5] C. Breuil, Schémas en groupes et corps des normes (non publié) 13p, (1998).

[6] C. Breuil, Groupes p-divisibles, groupes finis et modules filtrés, Ann. Math. (2) 152, no. 2 (2000), pp. 489-549. MR 1804530 | Zbl 1042.14018

[7] O. Brinon, Représentations cristallines dans le cas d'un corps residuel imparfait, Annales de l'Institut Fourier, 56, no. 4 (2006), pp. 919-999. Numdam | MR 2266883 | Zbl 1168.11051

[8] A.J. De Jong, Crystalline Dieudonné module theory via formal and rigid geometry, Publ. Math. de l'IHES, 82 (1995), pp. 5-96. Numdam | MR 1383213 | Zbl 0864.14009

[9] A.J. De Jong, Homomorphisms of Barsotti-Tate groups and crystals in positive characteristic, Invent. Math., 134, no. 2, Springer Verlag (1998), pp. 301-333. MR 1650324 | Zbl 0929.14029

[10] G. Faltings, Integral crystalline cohomology over very ramified valuation rings, JAMS, 12, no. 1 (1999), pp. 117-144. MR 1618483 | Zbl 0914.14009

[11] O. Hyodo, On variation of Hodge-Tate structures, Math. Ann. 284, no. 1 (1989), pp. 7-22. MR 995378 | Zbl 0645.14002

[12] N. Katz, Slope filtration of F-crystals, Journées de Géométrie Algébrique de Rennes (Rennes, 1978), Vol. I, Astérisque 63, SMF (1979), pp. 113-163. MR 563463 | Zbl 0426.14007

[13] K. Kedlaya, A p-adic local monodromy theorem, Ann. of Math., 160 no. 1 (2004), pp. 93-184. MR 2119719 | Zbl 1088.14005

[14] K. Kedlaya, Slope filtrations revisited, Doc. Math., 10 (2005), pp. 447-525. MR 2184462 | Zbl 1081.14028

[15] M. Kisin, Crystalline representations and F-crystals, in Algebraic Geometry and Number Theory, in Honor of Vladimir Drinfeld's 50th Birthday, Progress in Math. 253, Birkhäuser, (2006). MR 2263197 | Zbl pre05234060

[16] H. Matsumura, Commutative ring theory, xiii+320, Cambridge university Press, (1986). MR 879273 | Zbl 0603.13001

[17] B. Mazur, W. Messing, Universal extensions and one dimensional crystalline cohomology, Lecture notes in Mathematics 370, vi+134, Springer Verlag, (1974). MR 374150 | Zbl 0301.14016

[18] W. Messing, Crystals associated to Barsotti-Tate groups : with applications to abelian schemes, Lecture notes in Mathematics 264, Springer Verlag (1972), p. 190. MR 347836 | Zbl 0243.14013

[19] J. Tate, p-divisible groups, Proceedings of a conference on local fields, Springer Verlag (1967), pp. 158-183. MR 231827 | Zbl 0157.27601