Skip to main content
SpringerLink
Log in

Multi-tensors of differential forms on the Hilbert modular variety and on its subvarieties

  • 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

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. Ash, A., Mumford, D., Rapoport, M., Tai, Y.: Smooth compactification of locally symmetric varieties. Brookline: Math. Sci. Press 1975

    Google Scholar 

  2. Freitag, E.: Lokale und globale Invarianten der Hilbertschen Modulgruppe. Invent. Math.17, 106–134 (1972)

    Google Scholar 

  3. Freitag, E.: Automorphy factors of Hilbert's modular group. In: Discrete subgroups of Lie groups and applications to moduli. pp. 9–19. Tata Institute, 1975

  4. Freitag, E.: Eine Bemerkung zur Theorie der Hilbertschen Modulmannigfaltigkeiten hoher Stufe. Math. Z.171, 27–35 (1980)

    Google Scholar 

  5. Freitag, E.: Holomorphic tensors on subvarieties of the Siegel modular variety. In: Automorphic forms of several variables. Prog. Math. Boston46, 93–113 (1984)

    Google Scholar 

  6. Van der Geer, G.: On Hilbert modular surfaces of principal congruence subgroups. Dissertation. Rijkuniversiteit te Leiden (1977)

  7. Gundlach, K.-B.: Multiplier systems for Hilbert's and Siegel's modular groups. Glasgow Math. J.27, 57–80 (1985)

    Google Scholar 

  8. Hirzebruch, F., Van de Ven, A.: Hilbert modular surfaces and the classification of algebraic surfaces. Invent. Math.23, 1–29 (1974)

    Google Scholar 

  9. Köhler, G.: Der Normalisator von Hilbert-Siegelschen Stufegruppen. Math. Z.126, 247–274 (1972)

    Google Scholar 

  10. Lang, S.: Algebraic number theory. Reading, MA: Addison-Wesley 1970

    Google Scholar 

  11. Prestel, A.: Die elliptischen Fixpunkte der Hilbertschen Modulgruppen. Math. Ann.177, 181–209 (1968)

    Google Scholar 

  12. Rankin, R.: Modular forms and functions. Cambridge: Cambridge Univ. Press 1977

    Google Scholar 

  13. Serre, J.P.: Le problème des groupes de congruence pourSl 2. Ann. Math.92, 489–527 (1970)

    Google Scholar 

  14. Shimizu, H.: On discontinuous groups operating on the product of the upper half planes. Ann. Math.77, 33–71 (1963)

    Google Scholar 

  15. Tai, Y.: On the Kodaira dimension of the moduli space of abelian varieties. Invent. Math.71, 425–439 (1983)

    Google Scholar 

  16. Tsuyumine, S.: On the Kodaira dimensions of Hilbert modular varieties. Invent. Math.80, 269–281 (1985)

    Google Scholar 

  17. Tsuyumine, S.: Multi-tensors of differential forms on the Siegel modular variety and on its subvarieties. Preprint 1985

Download references

Author information

Authors and Affiliations

  1. 2856-235 Sashiogi, Ohmia-shi, 330, Saitama, Japan

    Shigeaki Tsuyumine

Authors
  1. Shigeaki Tsuyumine
    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

Tsuyumine, S. Multi-tensors of differential forms on the Hilbert modular variety and on its subvarieties. Math. Ann. 274, 659–670 (1986). https://doi.org/10.1007/BF01458601

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01458601

Keywords

Search

Navigation