Skip to main content

Divisors of the Siegel modular variety

Part of the Lecture Notes in Mathematics book series (LNM,volume 1240)

Keywords

  • Line Bundle
  • Modular Form
  • Irreducible Component
  • Differential Form
  • Eisenstein Series

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

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

    MATH  Google Scholar 

  2. Borel, A., Stable real cohomology of arithmetic groups II, Manifolds and Lie groups, Birkhäuser 1981.

    Google Scholar 

  3. Eichler, M., Über die Anzahl der linear unabhängigen Siegelschen Modulformen von gegebenem Gewicht, Math. Ann. 213, 281–291 (1975).

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Freitag, E., Holomorphe Differentialformen zu Kongruenz Untergruppen der Siegelschen Modulgruppe, Inv. Math. 30, (1975), 181–196.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. Freitag, E., Siegelsche Modulfunktionen, Grundlehren der math. Wissenschaften 254, Springer-Verlag 1983.

    Google Scholar 

  6. Freitag, E., Die Irreduzibilität der Schottkyrelation (Bemerkung zu einem Satz von J. I. Igusa), Arch. Math., vol. 40 (1983), 255–259.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Freitag, E.-Pommerening, K., Reguläre Differentialformen des Körpers der Siegelschen Modulfunktionen, Journ. r. angew. Math. 331 (1982), 207–220.

    MathSciNet  MATH  Google Scholar 

  8. Griffiths, P.-Schmid, W., Recent developments in Hodge theory, International Colloquium on discrete subgroups of Lie groups and application to moduli 1973, Oxford Press 1975.

    Google Scholar 

  9. Igusa, J. I., Modular forms and projective invariants, Am. J. Math. 89 (1967), 817–855.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. Kubert, D.-Lang, S., Modular units, Grundlehren der math. Wissenschaften 244, Springer-Verlag.

    Google Scholar 

  11. Langlands, R. P., On the functional equations satisfied by Eisenstein series, Lecture Notes in Math. 544 (1976).

    Google Scholar 

  12. Mumford, D., Hirzebruch's proportionality theorem in the non-compact case, Inv. Math. 42 (1977), 239–272.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. Namikawa, Y., Toroidal compactifications of Siegel spaces, Lecture Notes in Math. 812, Springer-Verlag 1980.

    Google Scholar 

  14. Tai, Y., On the Kodaira dimension of the modul space of Abelian varieties, Inv. Math. 68, 425–439.

    Google Scholar 

  15. Weissauer, R., Vektorwertige Siegelsche Modulformen Kleinen Gewichtes, Journ. r. angew. Math. 343 (1983), 184–202.

    MathSciNet  Google Scholar 

  16. Weissauer, R., Stabile Modulformen und Eisensteinreihen, Lecture Notes in Mathematics 1219 (1986)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1987 Springer-Verlag

About this paper

Cite this paper

Weissauer, R. (1987). Divisors of the Siegel modular variety. In: Chudnovsky, D.V., Chudnovsky, G.V., Cohn, H., Nathanson, M.B. (eds) Number Theory. Lecture Notes in Mathematics, vol 1240. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072987

Download citation

  • DOI: https://doi.org/10.1007/BFb0072987

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17669-5

  • Online ISBN: 978-3-540-47756-3

  • eBook Packages: Springer Book Archive