Skip to main content
SpringerLink
Log in

Motives for modular forms

  • Published:
Inventiones mathematicae Aims and scope

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Beilinson, A.A.: Higher regulators and values ofL-functions. J. Sov. Math.30, 2036–2070 (1985)

    Google Scholar 

  2. Beilinson, A.A.: Higher regulators of modular curves. Applications of algelbraicK-theory to algebraic geometry and number theory. Contemp. Math.55, 1–34 (1986)

    Google Scholar 

  3. Bloch, S.A., Ogus, O.: Gersten's conjecture and the homology of schemes. Ann. Sci. Éc. Norm. Super., VI. Ser.7, 181–202 (1974)

    Google Scholar 

  4. Deligne, P.: Formes modulaires et représentationsl-adiques. Sém. Bourbaki, éxp. 355. Lect. Notes Math., vol.179, pp. 139–172. Berlin-Heidelberg-New York: Springer 1973

    Google Scholar 

  5. Deligne, P., Rapoport, M.: Les schémas de modules des courbes elliptiques. Modular functions of one variable II. (Lect. Notes Math. vol.349, pp. 143–316). Berlin-Heidelberg-New York: Springer 1973

    Google Scholar 

  6. Fontaine, J.-M., Messing, W.:p-adic periods andp-adic étale cohomology. Current trends in arithmetical algebraic geometry, ed. K. Ribet. Contemp. Math.67, 179–207 (1987)

    Google Scholar 

  7. Gillet, H., Messing, W.: Cycle classes Riemann-Roch for crystalline cohomology. Duke Math. J.55, 501–538 (1987)

    Google Scholar 

  8. Jannsen, U.: Mixed motives and algebraicK-theory. Preprint, University of Regensburg (February 1988)

  9. Katz, N.M.:p-adic properties of modular schemes and modular forms. Modular functions of one variable III. (Lect. Notes Math., vol.350, pp. 69–190). Berlin-Heidelberg-New York: Springer 1973

    Google Scholar 

  10. Katz, N.M., Mazur, B.: Arithmetic moduli of elliptic curves. Ann. Math. Stud. vol.108, Princeton University Press, 1985

  11. Katz, N.M., Messing, W.: Some consequences of the Riemann hypothesis for varieties over finite fields. Invent. Math.23, 73–77 (1974)

    Google Scholar 

  12. Langlands, R.P.: Modular forms andl-adic representations. Modular functions of one variable II. (Lect. Notes Math., vol.349, pp. 361–500). Berlin-Heidelberg-New York: Springer 1973

    Google Scholar 

  13. Manin, Yu. I.: Correspondences, motifs and monoidal transformations.Math. USSR Sb. 6, 439–470 (1968)

    Google Scholar 

  14. Scholl, A.J.: Modular forms and de Rham cohomology; Atkin-Swinnerton-Dyer congruences. Invent. Math.79, 49–77 (1985)

    Google Scholar 

  15. Scholl, A.J.: Higher regulators and special values ofL-functions of modular forms. In preparation

  16. Shimura, G.: Introduction to the arithmetic theory of automorphic functions. Publ. Math. Soc. Japan11, (Iwanami Shoten/Princeton, 1971)

  17. Faltings, G.: Crystalline cohomology andp-adic representations (Preprint).

Download references

Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, Science Laboratories, University of Durham, DH1 3LE, Durham, England

    A. J. Scholl

Authors
  1. A. J. Scholl
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Scholl, A.J. Motives for modular forms. Invent Math 100, 419–430 (1990). https://doi.org/10.1007/BF01231194

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01231194

Keywords

Search

Navigation