Crystalline conjecture via K-theory
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 31 (1998) no. 5, pp. 659-681.
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     author = {Nizio{\l}, Wies{\l}awa},
     title = {Crystalline conjecture via $K$-theory},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {659--681},
     publisher = {Elsevier},
     volume = {Ser. 4, 31},
     number = {5},
     year = {1998},
     doi = {10.1016/s0012-9593(98)80003-7},
     mrnumber = {2000e:14010},
     zbl = {0929.14009},
     language = {en},
     url = {http://www.numdam.org/articles/10.1016/s0012-9593(98)80003-7/}
}
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Nizioł, Wiesława. Crystalline conjecture via $K$-theory. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 31 (1998) no. 5, pp. 659-681. doi : 10.1016/s0012-9593(98)80003-7. http://www.numdam.org/articles/10.1016/s0012-9593(98)80003-7/

[1] P. Berthelot, L. Breen and W. Messing, Théorie de Dieudonné cristalline. II, Lect. Notes in Math., vol. 930, Springer-Verlag, Berlin-New York, 1982. | MR | Zbl

[2] P. Berthelot, A. Grothendieck and L. Illusie, Théorie des intersections et théorème de Riemann-Roch, Lect. Notes in Math., vol. 225, Springer-Verlag, Berlin, Heidelberg and New York, 1971. | MR | Zbl

[3] P. Berthelot and A. Ogus, F-isocrystals and de Rham cohomology. I, Inv. Math. 72, 1983, pp. 159-199. | MR | Zbl

[4] W. Dwyer and E. Friedlander, Algebraic and étale K-theory, Trans. Amer. Math. Soc. 292, 1985, no. 1, pp. 247-280. | MR | Zbl

[5] G. Faltings, Crystalline cohomology and p-adic Galois representations, Algebraic analysis, geometry and number theory (J. I. Igusa ed.), Johns Hopkins University Press, Baltimore, 1989, pp. 25-80. | MR | Zbl

[6] G. Faltings, p-adic Hodge-theory, J. of the AMS 1, 1988, pp. 255-299. | MR | Zbl

[7] J.-M. Fontaine, Cohomologie de de Rham, cohomologie crystalline et représentations p-adiques, Algebraic Geometry Tokyo-Kyoto, Lect. Notes Math., vol. 1016, Springer-Verlag, Berlin, Heidelberg and New York, 1983, pp. 86-108. | MR | Zbl

[8] J.-M. Fontaine, Sur certains types de représentations p-adiques du groupe de Galois d'un corps local, construction d'un anneau de Barsotti-Tate, Ann. of Math. 115, 1982, pp. 529-577. | MR | Zbl

[9] J.-M. Fontaine, Le corps des périodes p-adiques, Astérisque, vol. 223, 1994, pp. 321-347. | Numdam | Zbl

[10] J.-M. Fontaine and G. Lafaille, Construction de représentations p-adiques, Ann. Sci. Ec. Norm. Sup., IV. Ser., 15, 1982, pp. 547-608. | Numdam | MR | Zbl

[11] J.-M. Fontaine and W. Messing, p-adic periods and p-adic étale cohomology, Current Trends in Arithmetical Algebraic Geometry (K. Ribet, ed.), Contemporary Math., vol. 67, Amer. Math. Soc., Providence, 1987, pp. 179-207. | MR | Zbl

[12] E. Friedlander, Étale K-theory. II. Connections with algebraic K-theory, Ann. Sci. École Norm. Sup., IV. Ser., 15, 1982, pp. 231-256. | Numdam | MR | Zbl

[13] H. Gillet, Riemann-Roch theorems for higher algebraic K-theory, Adv. Math. 40, 1981, pp. 203-289. | MR | Zbl

[14] H. Gillet and W. Messing, Cycle classes and Riemann-Roch for crystalline cohomology, Duke Math. J., 55, 1987, pp. 501-538. | MR | Zbl

[15] M. Gros, Régulateurs syntomiques et valeurs de fonctions L p-adiques I, Invent. Math., 99, 1990, pp. 293-320. | MR | Zbl

[16] M. Gros, Classes de Chern et classes de cycles en cohomologie de Hodge-Witt logarithmic, Mém. Soc. Math. France (N.S.) 21, 1985. | Numdam | Zbl

[17] K. Kato, On p-adic vanishing cycles (application of ideas of Fontaine-Messing), Algebraic Geometry, Sendai, 1985, Adv. Stud. Pure Math. 10, North-Holland, Amsterdam-New York, 1987, pp. 207-251. | Zbl

[18] K. Kato and W. Messing, Syntomic cohomology and p-adic étale cohomology, Tôhoku Math. J. 44, 1992, pp. 1-9. | MR | Zbl

[19] D. Quillen, Higher algebraic K-theory I, Algebraic K-theory I, Lecture Notes in Math. 341, Springer-Verlag, Berlin-Heidelberg-New-York, 1973, pp. 85-147. | MR | Zbl

[20] V. V. Shekhtman, Chern classes in algebraic K-theory, Trans. Moscow Math. Soc., Issue I, 1984, pp. 243-271. | Zbl

[21] C. Soulé, Operations on étale K-theory. Applications, Algebraic K-theory I, Lect. Notes Math. 966, Springer-Verlag, Berlin, Heidelberg and New York, 1982, pp. 271-303. | MR | Zbl

[22] C. Soulé, K-théorie des anneaux d'entiers de corps de nombres et cohomologie étale, Inv. Math. 55, 1979, pp. 251-295. | MR | Zbl

[23] C. Soulé, Opérations en K-théorie algébrique, Canad. J. Math. 37, no. 3, 1985, pp. 488-550. | MR | Zbl

[24] R. Thomason, Algebraic K-theory and étale cohomology, Ann. Scient. Ecole Norm. Sup. 18, 1985, pp. 437-552. | Numdam | MR | Zbl

[25] R. Thomason, Bott stability in algebraic K-theory, Applications of algebraic K-theory to algebraic geometry and number theory I, II (Boulder, Colo., 1983, Contemporary Math., vol. 55, Amer. Math. Soc., Providence, 1986, pp. 389-406. | MR | Zbl

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