Descente des isocristaux et 𝒟 -modules

L. Garnier

Rendiconti del Seminario Matematico della Università di Padova (1998)

  • Volume: 100, page 143-186
  • ISSN: 0041-8994

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Garnier, L.. "Descente des isocristaux et $\mathcal {D}^\dagger $-modules." Rendiconti del Seminario Matematico della Università di Padova 100 (1998): 143-186. <http://eudml.org/doc/108455>.

@article{Garnier1998,
author = {Garnier, L.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {isocrystal; Frobenius; -module; Fuchsian overconvergent isocrystals},
language = {fre},
pages = {143-186},
publisher = {Seminario Matematico of the University of Padua},
title = {Descente des isocristaux et $\mathcal \{D\}^\dagger $-modules},
url = {http://eudml.org/doc/108455},
volume = {100},
year = {1998},
}

TY - JOUR
AU - Garnier, L.
TI - Descente des isocristaux et $\mathcal {D}^\dagger $-modules
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1998
PB - Seminario Matematico of the University of Padua
VL - 100
SP - 143
EP - 186
LA - fre
KW - isocrystal; Frobenius; -module; Fuchsian overconvergent isocrystals
UR - http://eudml.org/doc/108455
ER -

References

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  1. [And] Y. André, G-functions and geometry, Aspects of Mathematics, Vol. E13, Publ. of the Max-Plank-Institut für Mathematik (1989). Zbl0688.10032MR990016
  2. [B-Ch] F. Baldassarri - B. Chiarellotto, On André's theorem, Contemp. Math., 133 (1992) pp. 25-37. Zbl0784.12008MR1183968
  3. [Be1] P. Berthelot, Cohomologie rigide et cohomologie rigide à support propre, Prépublication 96-03, Université Rennes I (1996). 
  4. [Be2] P. Berthelot, CohomoLogie rigide et théorie des D-modules, Proc. Conf. p-adic analysis (Trento1989), Lect. Notes in Math., 1454, Springer-Verlag (1990). Zbl0722.14008MR1094848
  5. [Be3] P. Berthelot, D†-modules arithmétiques I. Opérateurs différentiels de niveau fini, Ann. Scient. Ec. Norm. Sup., t. 29, fasc. 2 (1996), p. 185-272. Zbl0886.14004
  6. [Be4] P. Berthelot, D†-modules airthmétiques II, en préparation. Zbl0948.14017
  7. [BGR] S. Bosch - U. Guntzer - R. Remmert, Non archimedean analysis, Grundlehren der Math. Wissenschaften, 261, Springer-Verlag (1984). Zbl0539.14017MR746961
  8. [Ch-Dw1] G. Christol - B. Dwork, Modules différentiels sur des couronnes, Ann. Inst. Fourier, 44 (1994), pp. 663-701. Zbl0859.12004MR1303881
  9. [Ch-Dw2] G. Christol - B. Dwork, Effective p-adic bounds at regular singular points, Duke Math. J., 62, 2 (1991). Zbl0762.12004MR1104814
  10. [Ch-M1] G. Christol - Z. Mebkhout, ,Sur Le théorème de l'indice des équations différentielles p-adiques II, Ann. of Math., 146 (1997). Zbl0929.12003MR1477761
  11. [Ch-M2] G. Christol - Z. Mebkhout, Sur le théorème de l'indice des équations différentielles p-adiques III, Prépublication Université Paris6 (1995). 
  12. [Crw1] R. Crew, F-isocrytals and p-adic representations, in Alg. Geometry, Bowdoin1985, PSPM46, part 2 (1987), pp. 11-138. Zbl0639.14011MR927977
  13. [Crw2] R. Crew, Finiteness theorems for the cohomology of an overconvergent isocrystal on a curve, préprint (1994). 
  14. [Dw] B. Dwork, On exponents of p-adic differential modules, prépublication (1996). Zbl0870.12008MR1437300
  15. [DGS] B. Dwork - G. Gerotto - F.J. Sullivan, An introduction to G-functions, An. Math. Studies, 133, Princeton University Press (1994). Zbl0830.12004MR1274045
  16. [Ga1] L. Garnier, Correspondance de Katz et irrégularité des isocristaux surconvergents de rang un, Manuscripta Math., 87 (1995), pp. 327-348. Zbl0832.14011MR1340351
  17. [Ga2] L. Garnier, Descente par Frobenius explicite pour les D†-modules, prépublication (à pareûtre dans "Journal of Algebra"). Zbl0926.12006
  18. [Lev] A.H.M. Levelt, Jordan decomposition for a class of singular differential operators, Arkiv für Mathematik, 13 (1979), pp. 1-27. Zbl0305.34008MR500294
  19. [Hu] C. Huyghe, Construction et étude de la transformée de Fourier des d-modules arithmétiques, Thèse, Université de Rennes I (1995). 
  20. [SGAV] Séminaire de Géométrie Algébrique du Bois-Marie, Cohomologie l-adique et fonctions L, Lect. Notes in Math., 589, Springer-Verlag (1977). Zbl0345.00011MR491704

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