Skip to main content
SpringerLink
Log in

Intersection numbers for quotients of the complex 2-ball and Hilbert 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. Baily, W.L., Borel, A.: Compactification of arithmetic quotients of bounded symmetric domains, Ann. of Math. (2)84, 442–528 (1966)

    Google Scholar 

  2. Borel, A.: Compact Clifford-Klein forms of symmetric spaces, Topology2, 111–122 (1963)

    Google Scholar 

  3. Hecke, E.: Zur Theorie der elliptischen Modulfunctionen, Math. Ann.97, 210–242 (1927)

    Google Scholar 

  4. Hemperly, J.: The parabolic contribution to the number of linearly independent automorphic forms on a certain bounded domain, Amer. J. Math.94, 1078–1100 (1972)

    Google Scholar 

  5. Hirzebruch, F.: Hilbert modular surfaces, L'Ens. Math.19, 183–281 (1973)

    Google Scholar 

  6. Hirzebruch, F.: Kurven auf den Hilbertschen Modulflächen und Klassenzahlrelation, Classification of algebraic varieties and compact complex manifolds, Lecture Notes in Math. 412, p. 75–93, Berlin, Heidelberg, New York: Springer 1974

    Google Scholar 

  7. Hirzebruch, F., Zagier, D.: Intersection numbers of curves on Hilbert modular surfaces and modular forms of nebentypus, Inventiones math.36, 57–113 (1976)

    Google Scholar 

  8. Hirzebruch, F.: Topological Methods in Algebraic Geometry, Berlin, Heidelberg, New York: Springer 1966

    Google Scholar 

  9. Howe, R.: Invariant theory and duality for classical groups over finite fields, with applications to their singular representation theory (preprint)

  10. Kodaira, K.: On compact complex analytic surfaces I, Ann. of Math.71, 111–151 (1960)

    Google Scholar 

  11. Millson, J.: Geometric construction of homology of arithmetic quotients (preprint)

  12. Oda, T.: On modular forms associated with indefinite quadratic forms of signature (2,n−2), (preprint)

  13. Schoenberg, B.: Indefinite Quaternion and Modulfunktionen, Math. Ann.113, 380–391 (1936)

    Google Scholar 

  14. Serre, J.P.: Corps Locaux, Paris: Hermann 1968

    Google Scholar 

  15. Siegel, C.L.: Indefinite quadratische Formen und Funktionentheorie, I & II, Math. Ann.124, 17–54 (1951); 364–387 (1952)

    Google Scholar 

  16. Shimura, G.: Arithmetic of Unitary Groups, Ann of Math.79 (2), 369–409 (1964)

    Google Scholar 

  17. Shintani, T.: On construction of holomorphic cusp forms of integral weight, Nagoya Math. J.,58, 83–126 (1975)

    Google Scholar 

  18. Zagier, D.: Modular Forms whose Fourier coefficients involve zeta-functions of quadratic fields, Modular Functions of One Variable VI, Bonn, Lecture Notes in Mathematics 627, Berlin, Heidelberg, New York: Springer 1976

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Maryland, 20742, College Park, MD, USA

    Stephen S. Kudla

Authors
  1. Stephen S. Kudla
    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

Kudla, S.S. Intersection numbers for quotients of the complex 2-ball and Hilbert modular forms. Invent Math 47, 189–208 (1978). https://doi.org/10.1007/BF01578071

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01578071

Keywords

Search

Navigation