Cohomologie syntomique des F-T-cristaux
Rendiconti del Seminario Matematico della Università di Padova, Tome 108 (2002), pp. 1-26.
@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},
     pages = {1--26},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {108},
     year = {2002},
     mrnumber = {1956426},
     zbl = {1165.14307},
     language = {fr},
     url = {http://www.numdam.org/item/RSMUP_2002__108__1_0/}
}
TY  - JOUR
AU  - Trihan, Fabien
TI  - Cohomologie syntomique des $F$-$T$-cristaux
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2002
SP  - 1
EP  - 26
VL  - 108
PB  - Seminario Matematico of the University of Padua
UR  - http://www.numdam.org/item/RSMUP_2002__108__1_0/
LA  - fr
ID  - RSMUP_2002__108__1_0
ER  - 
%0 Journal Article
%A Trihan, Fabien
%T Cohomologie syntomique des $F$-$T$-cristaux
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2002
%P 1-26
%V 108
%I Seminario Matematico of the University of Padua
%U http://www.numdam.org/item/RSMUP_2002__108__1_0/
%G fr
%F 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://www.numdam.org/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 | Zbl

[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 | Zbl

[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 | Zbl

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

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

[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 | Zbl

[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 | Zbl

[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 | Zbl

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

[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 | Zbl

[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 | Zbl

[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 | Zbl

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

[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. | Numdam | MR | Zbl

[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 | Zbl

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

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

[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 | Zbl

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

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

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

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

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

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

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

[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 | Zbl

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

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

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