Skip to main content
SpringerLink
Log in

On symmetric hilbert modular forms

  • Published:
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Aims and scope Submit manuscript

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. E. Freitag,Modulformen zweiten Grades zum rationalen und Gauβschen Zahlkörper. Heidelberger Akad. d. Wiss. Nr. 1, 1967.

  2. —, Fortsetzung von automorphen Funktionen.Math. Ann. 177 (1968), 95–100.

    Article  MATH  MathSciNet  Google Scholar 

  3. —,Siegeische Modulfunktionen. Grundlehren254 Springer-Verlag, Berlin-Heidelberg-New York, 1983.

    Google Scholar 

  4. —,Hilbert modular forms. Springer-Verlag, Berlin-Heidelberg-New York, 1990.

    MATH  Google Scholar 

  5. E. Freitag andV. Schneider, Bemerkung zu einem Satz von J. Igusa und W. Hammond.Math. Z. 102 (1967), 9–16.

    Article  MATH  MathSciNet  Google Scholar 

  6. G. van der Geer,Hilbert Modular Surfaces. Springer-Verlag, Berlin-Heidelberg-New York, 1988.

    MATH  Google Scholar 

  7. V. A. Gritsenko and G. K. Sankaran, Moduli of abelian surfaces with (l,p2) Polarisation. (Duke-eprint), 1994.

  8. W. Hammond, The modular groups of Hilbert and Siegel.Amer. J. of Math. 88 (1966), 497–516.

    Article  MATH  MathSciNet  Google Scholar 

  9. —, The Hilbert Modular Surface of a Real Quadratic Field.Math. Ann. 200 (1973), 25–45.

    Article  MATH  MathSciNet  Google Scholar 

  10. C. F. Hermann,Modulflächen quadratischer Diskriminante. (Habilitationsschrift), Mannheim, 1990.

  11. K. Hulek, C. Kahn andS. Weintraub,Moduli Spaces of Abelian Surfaces: Compactification, Degenerations and Theta Functions. Walter de Gruyter, Berlin-New York, 1993.

    MATH  Google Scholar 

  12. J. Igusa,Theta Functions. Grundlehren194 Springer-Verlag, Berlin-Heidelberg-New York, 1972.

    MATH  Google Scholar 

  13. A. Krazer,Lehrbuch der Thetafunktionen. Teubner-Verlag, Leipzig, 1903.

    MATH  Google Scholar 

  14. J. L. Mennicke, Zur Theorie der Siegeischen Modulgruppe.Math. Ann. 159, (1965), 115–129.

    Article  MATH  MathSciNet  Google Scholar 

  15. D. Mumford,Abelian Varieties. (Tata Inst, of Fund. Research Studies in Math., vol. 5), Oxford Univ. Press, London, 1970.

    MATH  Google Scholar 

  16. ---,Tata Lectures on Theta 1–3. (Progress in Math., vol. 28,43,97) Birkhäuser-Verlag, Boston-Basel-Stuttgart, 1983/84/91.

  17. M. Rapoport, Compactifications de l’espace de modules de Hilbert-Blumenthal.Comp. Math. 36, Fasc. 3, (1978), 255–335.

    MATH  MathSciNet  Google Scholar 

  18. M. Rosati, Su una generazione del gruppo simplettico modulare di Siegel-Conforto Γ(n,Δ).Rend. Sem. Mat. Univ. Padova 60 (1978), 229–236.

    MATH  MathSciNet  Google Scholar 

  19. B. Runge, On Siegel modular forms I.J. reine angew. Math. 436 (1993), 57–85.

    MATH  MathSciNet  Google Scholar 

  20. —, On Siegel modular forms II.Nagoya Math. J. 138 (1995), 179–197.

    MATH  MathSciNet  Google Scholar 

  21. —, Thetafunctions and Siegel-Jacobi forms.Acta Math. 175 (1995), 165–196.

    Article  MATH  MathSciNet  Google Scholar 

  22. ---,On complex Shimura varieties. (preprint), Osaka, 1995.

  23. C. L. Siegel,Moduln Abelscher Funktionen. Nachrichten der Akademie der Wiss. in Göttingen, math.-phys. Klasse 1960, Nr. 25, 365–427 in Gesammelte Abhandlungen, Bd. III, Springer-Verlag 1966, Nr. 77, 373–435.

  24. L. N. Vaserstein, On the groupSL(2) on Dedekind rings of arithmetic type.Math. Sbornik 89 (1972) (=Math. USSR Sbornik 18 (1972), 321–332).

    Google Scholar 

  25. W. Wirtinger,Untersuchungen über Thetafunctionen. Teubner-Verlag, Leipzig, 1895.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Osaka University, Machikaneyama 1-1, Toyonaka Osaka 560, Japan

    B. Runge

Authors
  1. B. Runge
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to B. Runge.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Runge, B. On symmetric hilbert modular forms. Abh.Math.Semin.Univ.Hambg. 66, 75–88 (1996). https://doi.org/10.1007/BF02940795

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02940795

Keywords

Search

Navigation