Cohomologie syntomique des F - T -cristaux

Fabien Trihan

Rendiconti del Seminario Matematico della Università di Padova (2002)

  • Volume: 108, page 1-26
  • ISSN: 0041-8994

How to cite

top

Trihan, Fabien. "Cohomologie syntomique des $F$-$T$-cristaux." Rendiconti del Seminario Matematico della Università di Padova 108 (2002): 1-26. <http://eudml.org/doc/108590>.

@article{Trihan2002,
author = {Trihan, Fabien},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {fre},
pages = {1-26},
publisher = {Seminario Matematico of the University of Padua},
title = {Cohomologie syntomique des $F$-$T$-cristaux},
url = {http://eudml.org/doc/108590},
volume = {108},
year = {2002},
}

TY - JOUR
AU - Trihan, Fabien
TI - Cohomologie syntomique des $F$-$T$-cristaux
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2002
PB - Seminario Matematico of the University of Padua
VL - 108
SP - 1
EP - 26
LA - fre
UR - http://eudml.org/doc/108590
ER -

References

top
  1. [1] K. BANNAI, Rigid syntomic cohomology and p-adic polylogarithms, J. Reine Angew. Math., 529 (2000), pp. 205-237. Zbl1006.19002MR1799937
  2. [2] P. BERTHELOT, Cohomologie rigide et cohomologie à support propre, Première partie (version provisoire 1991), Prépublication IRMAR 96-03, Université de Rennes (1996). 
  3. [3] P. BERTHELOT - L. BREEN - W. MESSING, Théorie de Dieudonné cristalline II, Lecture Notes in Math. 930, Springer Verlag (1982). Zbl0516.14015MR667344
  4. [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. Zbl0753.14041MR1086886
  5. [5] P. BERTHELOT - A. OGUS, Notes on crystalline cohomology, Princeton University Press, Princeton, 1978. Zbl0383.14010MR491705
  6. [6] A. BESSER, Syntomic regulators and p-adic integration I: Rigid syntomic regulators, Israel, J. Math., 120, part B (2000), pp. 335-359. Zbl1001.19004MR1809627
  7. [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. Zbl0768.14001MR1086888
  8. [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. Zbl0933.14008MR1643966
  9. [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. Zbl0936.14016MR1649945
  10. [10] B. CHIARELLOTTO - B. ET LE STUM, A comparison theorem for weights, J. Reine Angew. Math., 546 (2002), pp. 159-176. Zbl0993.14006MR1900997
  11. [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. Zbl0219.14006MR441965
  12. [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. Zbl0911.14011MR1423023
  13. [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). Zbl0805.14008MR1463696
  14. [14] G. FALTINGS, Almost étale extensions, preprint du Max Planck Institut Bonn (1998). Zbl1027.14011MR1922831
  15. [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. Zbl0429.14016MR563472
  16. [16] J.-M. FONTAINE - G. LAFFAILLE, Construction de représentations p-adiques, Ann. Sci. de l’E.N.S., 15 (1982), pp. 547-608. Zbl0579.14037MR707328
  17. [17] J.-M. FONTAINE - W. MESSING, p-adic periods and p-adic étale cohomology, Contemporary Math., 67 (1987), pp. 179-207. Zbl0632.14016MR902593
  18. [18] O. HYODO - K. KATO, Crystalline cohomology with logarithmic poles, in Périodes p-adiques, Astérisque No. 223 (1994). MR1293974
  19. [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. Zbl0776.14004MR1463703
  20. [20] K. KATO, Semi-stable reduction and p-adic etale cohomology, in Périodes p-adiques, Astérisque No. 223 (1994). MR1293975
  21. [21] M. KURIHARA, A note on p-adic étale cohomology, Proc. Japan Acad., 63, Ser. A (1987). Zbl0647.14006MR931263
  22. [22] B. LE STUM - F. TRIHAN, Log-cristaux et surconvergence, Ann. Inst. Fourier (Grenoble), 51, no. 5 (2001), pp. 1189-1207. Zbl0985.14008MR1860662
  23. [23] A. OGUS, F-isocrystals and de Rham cohomology II-Convergent isocrystals, Duke Math. J., Vol. 51, No. 4 (1984). Zbl0584.14008MR771383
  24. [24] A. OGUS, F-crystals, Griffiths transversality, and the Hodge decomposition, Astérisque, 221 (1994). Zbl0801.14004MR1280543
  25. [25] P. SCHNEIDER, p-adic points of motives, in Motives, Proc. Sympos. Pure Math., 55, Pt2, Amer. Math. Soc., Providence (1994), 225-249. Zbl0814.14023MR1265555
  26. [26] F. TRIHAN, Fonction L unité d’un groupe de Barsotti-Tate, manuscripta math., 96 (1998), pp. 397-419. Zbl0968.14007MR1639828
  27. [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. Zbl1063.14027MR1826630
  28. [28] T. TSUJI, Syntomic complexes and p-adic vanishing cycles, J. reine angew. Math., 472 (1996), pp. 69-138. Zbl0838.14015MR1384907
  29. [29] T. TSUJI, p-adic étale cohomology and crystalline cohomology in the semistable reduction case, Invent. math., 137 (1999), pp. 233-411. Zbl0945.14008MR1705837
  30. [30] N. TSUZUKI, On the Gysin isomorphism of rigid cohomology, Hiroshima Math. J., 29, no. 3 (1999), pp. 479-527. Zbl1019.14007MR1728610

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.