Skip to main content
Log in

FonctionsL associées auxF-isocristaux surconvergents

I. Interprétation cohomologique

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Berthelot, P.: Cohomologie rigide et théorie de Dwork: le cas des sommes exponentielles. Astérisque119–120, 17–49 (1984)

    Google Scholar 

  2. Berthelot, P.: Géométrie rigide et cohomologie des variétés algébriques de caractéristiquep. Dans: Introduction aux cohomologiesp-adiques. Bull. Soc. Math. Fr.23 (1986)

  3. Berthelot, P.: Cohomologie rigide et cohomologie rigide à support propre. Astérisque (a paraître)

  4. A rigid analytic version of M. Artin's theorem on analytic equations. Math. Ann.255, 395–404 (1981)

    Google Scholar 

  5. Dwork, B.: A deformation theory for the zeta function of a hypersurface. In: Proc. Int. Cong. Math., pp. 247–259. Stockholm 1962. Djursholm: Institut Mittag-Leffler 1963

    Google Scholar 

  6. Elkik, R.: Solution d'équations à coefficients dans un anneau hensélien. Ann. Sci. Ec. Norm. Supér.6 (no 4), 553–604 (1973)

    Google Scholar 

  7. Etesse, J.-Y.: Rationalité et valeurs de fonctionL en cohomologie cristalline. Ann. Inst. Fourrier38 (no 4), 33–92 (1988)

    Google Scholar 

  8. Etesse, J.-Y.: Méromorphie et rationalité des fonctionsL en cohomologie rigide, version préliminaire (non publiée)

  9. Etesse, J.-Y., Le Stum, B.: FonctionsL associées auxF-isocristaux surconvergents. II. (en préparation)

  10. Katz, N.: Nilpotent connections and the monodromy theorem. Publ. Math. Inst. Hautes Étud. Sci. 175–232 (1970)

  11. Katz, N.: Travaux de Dwork. Séminaire Bourbaki no409. (Lect. Notes Math., vol. 383) Berlin Heidelberg New York: Springer 1972

    Google Scholar 

  12. Le Stum, B.: Lettre à Stephen Sperber. Minneapolis (1986)

  13. Le Stum, B.: Applications of rigid cohomology to arithmetic geometry. Thèse de Ph.D. Minneapolis (1988)

  14. Monsky, P., Washnitzer, G.: Formal cohomology. I. Ann. Math.88 (no 2), 181–217 (1986)

    Google Scholar 

  15. Monsky, P.: Formal Cohomology. II. Ann. Math.88 (no2), 218–238 (1986)

    Google Scholar 

  16. Monsky, P.: Formal cohomology. III. Ann. Math.93, (no 2), 315–343 (1971)

    Google Scholar 

  17. Van der Put, M.: The cohomology of Monsky and Washnitzer. Dans: Introduction aux cohomologiesp-adiques. Bull. Soc. Math. Fr.23 (1986)

  18. Reich, D.: Ap-adic fixed point formula. Am. J. Math.91, 835–850 (1969)

    Google Scholar 

  19. Robba, P.: Index ofp-adic differential operators. III. Applications to twisted exponential sums. Astérisque119–120, 191–266 (1984)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Etesse, JY., Le Stum, B. FonctionsL associées auxF-isocristaux surconvergents. Math. Ann. 296, 557–576 (1993). https://doi.org/10.1007/BF01445120

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01445120

Mathematics Subject Classification (1991)

Navigation