Cohomologie syntomique des F-T-cristaux
Trihan, Fabien
Rendiconti del Seminario Matematico della Università di Padova, Tome 108 (2002), p. 1-26 / Harvested from Numdam
Publié le : 2002-01-01
@article{RSMUP_2002__108__1_0,
     author = {Trihan, Fabien},
     title = {Cohomologie syntomique des $F$-$T$-cristaux},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {108},
     year = {2002},
     pages = {1-26},
     mrnumber = {1956426},
     zbl = {1165.14307},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/RSMUP_2002__108__1_0}
}
Trihan, Fabien. Cohomologie syntomique des $F$-$T$-cristaux. Rendiconti del Seminario Matematico della Università di Padova, Tome 108 (2002) pp. 1-26. http://gdmltest.u-ga.fr/item/RSMUP_2002__108__1_0/

[1] K. Bannai, Rigid syntomic cohomology and p-adic polylogarithms, J. Reine Angew. Math., 529 (2000), pp. 205-237. | MR 1799937 | Zbl 1006.19002

[2] P. Berthelot, Cohomologie rigide et cohomologie à support propre, Première partie (version provisoire 1991), Prépublication IRMAR 96-03, Université de Rennes (1996).

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

[4] P. Berthelot - W. Messing, Théorie de Dieudonné cristalline III: théorèmes d'équivalence et de pleine fidélité, The Grothendieck Festschrift, Vol. I, Progr. Math., 86, Birkhauser Boston, Boston, MA, 1990. | MR 1086886 | Zbl 0753.14041

[5] P. Berthelot - A. Ogus, Notes on crystalline cohomology, Princeton University Press, Princeton, 1978. | MR 491705 | Zbl 0383.14010

[6] A. Besser, Syntomic regulators and p-adic integration I: Rigid syntomic regulators, Israel, J. Math., 120, part B (2000), pp. 335-359. | MR 1809627 | Zbl 1001.19004

[7] S. Bloch - K. Kato, L-functions and Tamagawa numbers of motives. The Grothendieck Festschrift, Vol. I, 333-400, Progr. Math., 86, Birkhauser Boston, Boston, MA, 1990. | MR 1086888 | Zbl 0768.14001

[8] B. Chiarellotto, Weights in rigid cohomology. Applications to unipotent F-isocrystals, Ann. scient. Ec. Norm. Sup., 4e série, t. 31 (1998), pp. 683-715. | Numdam | MR 1643966 | Zbl 0933.14008

[9] B. Chiarellotto - B. Le Stum, Sur la pureté de la cohomologie cristalline, C. R. Acad. Sci. Paris, t. 326, Série I (1998), pp. 961-963. | MR 1649945 | Zbl 0936.14016

[10] B. Chiarellotto - B. Et Le Stum, A comparison theorem for weights, J. Reine Angew. Math., 546 (2002), pp. 159-176. | MR 1900997 | Zbl 0993.14006

[11] P. Deligne, Théorie de Hodge. I. (French) Actes du Congrès International des Mathématiciens (Nice, 1970), Tome 1, pp. 425-430, Gauthier-Villars, Paris, 1971. | Numdam | MR 441965 | Zbl 0219.14006

[12] J.-Y. Etesse - B. Le Stum, Fonctions L associées aux F-isocristaux surconvergents II: Zéros et pôles unités, Invent. math., 127 (1997), pp. 1-31. | MR 1423023 | Zbl 0911.14011

[13] G. Faltings, Crystalline cohomology and p-adic Galois representations, in Jun-Ichi Igusa editor, Algebraic Analysis, Geometry and Number Theory, p. 25-80. The John Hopkins University Press (1989). | MR 1463696 | Zbl 0805.14008

[14] G. Faltings, Almost étale extensions, preprint du Max Planck Institut Bonn (1998). | MR 1922831

[15] J.-M. Fontaine, Modules galoisiens, modules filtrés et anneaux de Barsotti- Tate. (French) Journées de Géométrie Algébrique de Rennes. (Rennes, 1978), Vol. III, pp. 3-80, Astérisque, 65, Soc. Math. France, Paris, 1979. | MR 563472 | Zbl 0429.14016

[16] J.-M. Fontaine - G. Laffaille, Construction de représentations p-adiques, Ann. Sci. de l'E.N.S., 15 (1982), pp. 547-608. | Numdam | MR 707328 | Zbl 0579.14037

[17] J.-M. Fontaine - W. Messing, p-adic periods and p-adic étale cohomology, Contemporary Math., 67 (1987), pp. 179-207. | MR 902593 | Zbl 0632.14016

[18] O. Hyodo - K. Kato, Crystalline cohomology with logarithmic poles, in Périodes p-adiques, Astérisque No. 223 (1994). | MR 1293974

[19] K. Kato, Logarithmic structures of Fontaine-Illusie, Algebraic analysis, geometry, and number theory, Proc. JAMI Inaugur. Conf., Baltimore/MD (USA) 1988 (1989), pp. 191-224. | MR 1463703 | Zbl 0776.14004

[20] K. Kato, Semi-stable reduction and p-adic etale cohomology, in Périodes p-adiques, Astérisque No. 223 (1994). | MR 1293975

[21] M. Kurihara, A note on p-adic étale cohomology, Proc. Japan Acad., 63, Ser. A (1987). | MR 931263 | Zbl 0647.14006

[22] B. Le Stum - F. Trihan, Log-cristaux et surconvergence, Ann. Inst. Fourier (Grenoble), 51, no. 5 (2001), pp. 1189-1207. | Numdam | MR 1860662 | Zbl 0985.14008

[23] A. Ogus, F-isocrystals and de Rham cohomology II-Convergent isocrystals, Duke Math. J., Vol. 51, No. 4 (1984). | MR 771383 | Zbl 0584.14008

[24] A. Ogus, F-crystals, Griffiths transversality, and the Hodge decomposition, Astérisque, 221 (1994). | MR 1280543 | Zbl 0801.14004

[25] P. Schneider, p-adic points of motives, in Motives, Proc. Sympos. Pure Math., 55, Pt2, Amer. Math. Soc., Providence (1994), 225-249. | MR 1265555 | Zbl 0814.14023

[26] F. Trihan, Fonction L unité d'un groupe de Barsotti-Tate, manuscripta math., 96 (1998), pp. 397-419. | MR 1639828 | Zbl 0968.14007

[27] F. Trihan, Zéros et pôles des fonctions L de F-isocristaux, C. R. Acad. Sci. Paris Sér. I Math., 332, no. 5 (2001), pp. 431-436. | MR 1826630 | Zbl 1063.14027

[28] T. Tsuji, Syntomic complexes and p-adic vanishing cycles, J. reine angew. Math., 472 (1996), pp. 69-138. | MR 1384907 | Zbl 0838.14015

[29] T. Tsuji, p-adic étale cohomology and crystalline cohomology in the semistable reduction case, Invent. math., 137 (1999), pp. 233-411. | MR 1705837 | Zbl 0945.14008

[30] N. Tsuzuki, On the Gysin isomorphism of rigid cohomology, Hiroshima Math. J., 29, no. 3 (1999), pp. 479-527. | MR 1728610 | Zbl 1019.14007