Skip to main content
Log in

ε-factor of a tamely ramified sheaf on a variety

  • Published:
Inventiones mathematicae Aims and scope

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Instant access to the full article PDF.

References

  • [A] Anderson, G.: Local factorization of determinants of twisted DR cohomology groups Compos. Math.83, 69–105 (1992)

    Google Scholar 

  • [B] Bloch, S.: Cycles on arithmetic schemes and Euler characteristics of curves. In: Algebraic Geometry. (Proc. Symp. Pure Math., vol. 46-II (pp. 421–450) Providence, RI: Am. Math. Soc. 1987

    Google Scholar 

  • [DG] Deligne, P.: Résumé des premiers exposés de A. Grothendieck. In: Grothendieck, A. (ed.) Exp. I. (Lect. Notes Math., vol. 288, pp. 1–21) Berlin Heidelberg New York: Springer 1972

    Google Scholar 

  • [D1] Deligne, P.: Les constantes des équation fonctionelles des fonctions L. In: Deligne, P., Kuyk, W. (eds.) Modular functions of one variable II. (Lect. Notes Math., vol. 349, pp. 501–597) Berlin Heidelberg New York: Springer, 1972

    Google Scholar 

  • [D2] Deligne, P.: Théorèmes de finitude en cohomologie ℓ-adique. In: Deligne, P. (ed.) SGA 4 12 . (Lect. Notes Math., vol. 569, pp. 233–251) Berlin Heidelberg New York: Springer 1977

    Google Scholar 

  • [D3] Deligne, P.: La conjecture de Weil II. Publ. Math., Inst. Hautes Étud. Sci.52, 137–252 (1980)

    Google Scholar 

  • [F] Fulton, W.: Intersection Theory, Berlin Heidelberg New York: Springer 1984

    Google Scholar 

  • [H] Henniart, G.: Galois ε-factors modulo roots of unity. Invent. Math.78, 117–126 (1984)

    Google Scholar 

  • [K1] Kato, K.: Ramification theory of Bloch. (in preparation)

  • [K2] Kato, K.: Class field theory,\(D\)-modules and ramification theory on higher dimensional schemes I. Am. J. Math. (to appear)

  • [KZ] Katz, N.: Pinceaux de Lefschetz: Théorème d'existence. In: Deligne, P., Katz, N. (eds.) SGA 7 II, Exp. XVII. (Lect. Notes Math., vol. 340, pp. 212–253) Berlin Heidelberg New York: Springer 1973

    Google Scholar 

  • [KT] Kramer, K. Tunnell, J.: Elliptic curves and local ε-factors. Compos. Math.46, 307–352 (1982)

    Google Scholar 

  • [L] Laumon, G.: Transformation de Fourier, constantes d'equations fonctionelles et conjecture de Weil. Publ. Math., Inst. Hautes Étud. Sci.65, 131–210, (1987)

    Google Scholar 

  • [Lo] Loeser, F.: Arrangements d'hyperplans et sommes de Gauss. Ann. Sci. Ec. Norm. Super.24, 379–400, (1991)

    Google Scholar 

  • [Lo-Sa] Loeser, F., Sabbah, C.: Equations aux différences finies et déterminants d'intégrales multiformes. Comment. Math. Helv.66, 458–503, (1991)

    Google Scholar 

  • [R] Raynaud, M.: Proprete cohomologique des faisceaux d'ensembles et des faisceaux de groupes non commutatifs. In: Grothendieck, A. (ed.) SGA I, Exp. XIII. (Lect. Notes Math., vol. 224, pp. 212–253) Berlin Heidelberg New York: Springer 1971

    Google Scholar 

  • [SS] Saito, S.: Functional equations ofL-functions of varieties over finite fields. J. Fac. Sci. Univ. Tokyo, Sect IA, Math.31, 287–296, (1984)

    Google Scholar 

  • [ST] Saito, T.: Vanishing cycles and geometry of curves over a discrete valuation ring. Am. J. Math.109, 1043–1085, (1987)

    Google Scholar 

  • [S] Serre, J.-P.: Corps locaux, 3ième éd. Paris: Hermann 1968

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Oblatum 18-XII-1991 & 1-III-1993

Rights and permissions

Reprints and permissions

About this article

Cite this article

Saito, T. ε-factor of a tamely ramified sheaf on a variety. Invent Math 113, 389–417 (1993). https://doi.org/10.1007/BF01244312

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01244312

Navigation