Cohomologie évanescente p -adique : calculs locaux

Michel Gros; Luis Narváez-Macarro

Rendiconti del Seminario Matematico della Università di Padova (2000)

  • Volume: 104, page 71-90
  • ISSN: 0041-8994

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Gros, Michel, and Narváez-Macarro, Luis. "Cohomologie évanescente $p$-adique : calculs locaux." Rendiconti del Seminario Matematico della Università di Padova 104 (2000): 71-90. <http://eudml.org/doc/108540>.

@article{Gros2000,
author = {Gros, Michel, Narváez-Macarro, Luis},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {fre},
pages = {71-90},
publisher = {Seminario Matematico of the University of Padua},
title = {Cohomologie évanescente $p$-adique : calculs locaux},
url = {http://eudml.org/doc/108540},
volume = {104},
year = {2000},
}

TY - JOUR
AU - Gros, Michel
AU - Narváez-Macarro, Luis
TI - Cohomologie évanescente $p$-adique : calculs locaux
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2000
PB - Seminario Matematico of the University of Padua
VL - 104
SP - 71
EP - 90
LA - fre
UR - http://eudml.org/doc/108540
ER -

References

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  1. [1] P. Berthelot, Géométrie rigide et cohomologie des variétés algébriques de caractéristique p, dans «Introduction aux cohomologies p-adiques », Bull. Soc. Math. Fr., Mémoire n. 23 (1986). Zbl0606.14017MR865810
  2. [2] P. Berthelot, Cohomologie rigide et cohomologie rigide à support propre (Première Partie), Prépublication IRMAR 96-03 (1996). 
  3. [3] P. Berthelot, Cohomologie rigide et théorie des D†-Modules, Lecture Notes in Maths., 1454 (1990), pp. 80-124. Zbl0722.14008
  4. [4] P. Berthelot, D-Modules arithmétiques I. Opérateurs différentiels de niveau fini, Ann. Scient. Ec. Norm. Sup, 4ième série, 29 (1996), pp. 185-272. Zbl0886.14004MR1373933
  5. [5] N. Bourbaki, Algèbre, Chapitre 10, Masson (1980). Zbl0455.18010
  6. [6] F.J. Calderón-Moreno, Logarithmic differential operators and logarithmic de Rham complexes relative to a free divisor, Warwick preprint 49/1997, Ann. Scient. Ec. Norm. Sup., a paraître. Zbl0955.14013MR1710757
  7. [7] M. Gros, Cohomologie évanescente, Preprint IRMAR, 95-32, Novembre 95. 
  8. [8] C. Huyghe, Transformation de Fourier des D† x,Q(∞)-Modules, CRASP, t. 321, série I, p. 759-762 (1995) (détails donnés dans «Thèse de Doctorat de l'Université de Rennes I (8 Juin 95)»). Zbl0872.14011
  9. [9] O. Hyodo - K. Kato, Semi-stable reduction and crystalline cohomology with log poles, Astérisque, 223 (1994), pp. 221-268. Zbl0852.14004MR1293974
  10. [10] L. Illusie, Autour du théorème de monodromie locale, Astérisque, 223 (1994), pp. 9-57. Zbl0837.14013MR1293970
  11. [11] M. Kashiwara, Vanishing cycles sheaves and holonomic systems of differential equations, Lecture Notes in Math., 1012 (1983), pp. 134-142. Zbl0566.32022MR726425
  12. [12] K. Kato, Logarithmic structures of Fontaine-Illusie, Algebraic Analysis, Geometry and number theory, Proceedings of the inaugural JAMI conference, Ed. by J. I. Igusa, The John Hopkins University Press (1988). Zbl0776.14004MR1463703
  13. [13] B. Malgrange, Polynôme de Bernstein-Sato et cohomologie évanescente, Astérisque, 101-102 (1983), pp. 233-267. Zbl0528.32007MR737934
  14. [14] Z. Mebkhout, Le formalisme des six opérations de Grothendieck pour les DX-modules, Travaux en cours n. 35, Hermann (1989). Zbl0686.14020MR1008245
  15. [15] Z. Mebkhout - C. Sabbah, DX-modules et cycles évanescents, dans [14], pp. 201-239. 
  16. [16] Z. Mebkhout - L. Narváez-Macarro, Sur les coefficients de De Rham-Grothendieck des variétés algébriques, Lecture Notes in Maths., 1454 (1990), pp. 267-308. Zbl0727.14011MR1094858
  17. [17] P. Monsky - G. WASHNITZER, Formal cohomology I, Annals of Math., 88 (1968), pp. 181-217. Zbl0162.52504MR248141
  18. [18] L. Narváez-Macarro, Division theorem over the Dwork-Monsky-Washnitzer completion of polynomial rings and Weyl algebras, in Rings, Hopf algebras and Brauer groups, Lect. Notes in Pure and Appl. Math., 197, pp. 175-191, Marcel Dekker, New York (1998). Zbl0944.13018MR1615789
  19. [19] C. Sabbah, D-Modules et cycles évanescents (d'après B. Malgrange et M. Kashiwara), Travaux en cours n. 24 (conférence de La Rábida 1984), pp. 53-98 (1987). Zbl0623.32013MR907935
  20. [20] J. Steenbrink, Limits of Hodge structures, Inv. Math., 31 (1976), pp. 229-257. Zbl0303.14002MR429885

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