Skip to main content
SpringerLink
Log in

Projective models of Picard modular varieties

  • Conference paper
  • First Online:
Classification of Irregular Varieties

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1515))

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 39.95
Price excludes VAT (USA)
  • 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Atlas of finite simple groups.

    Google Scholar 

  2. H.F.Baker, A locus with 25920 linear selftransformations, Cambridge University Press (1946).

    Google Scholar 

  3. G.Barthel, F.Hirzebruch and T.Höfer, Geradenkonfigurationen und Algebraïsche Flächen, Aspekte der Mathematik D4, F.Viehweg & Sohn (1987).

    Google Scholar 

  4. H. Burkhardt, Untersuchungen aus dem Gebiete der hyperelliptischen Modulfunctionen. Zweiter Teil. Math.Ann 38 (1891) 161–224.

    Article  MathSciNet  MATH  Google Scholar 

  5. O. Debarre, Annulation de thêtaconstantes sur les variétés abéliennes de dimension quatre. C.R. Acad. Sci. Paris, 305, Série I, (1987) 885–888.

    MathSciNet  Google Scholar 

  6. E.Freitag, Siegelsche Modul Funktionen, Springer, Die Grundlehren der mathematischen Wissenschaften, Band 254, (1983).

    Google Scholar 

  7. B. van Geemen, Siegel modular forms vanishing on the moduli space of curves. Inv. Math. 78 (1984) 329–349.

    Article  MathSciNet  MATH  Google Scholar 

  8. P.Griffiths and J.Harris, Principles of Algebraic Geometry. John Wiley & Sons (1978).

    Google Scholar 

  9. B. van Geemen and N.O. Nygaard, L-functions of some Siegel Modular 3-Folds, Preprint nr. 546, Dept. of Math., University of Utrecht (1988).

    Google Scholar 

  10. R.-P.Holzapfel, Geometry and Arithmetic around Euler partial differential equations. D.Reidel Publishing Company (1986).

    Google Scholar 

  11. B.Hunt and S.Weintraub, Janus-like algebraic varieties. To appear.

    Google Scholar 

  12. J.I. Igusa, Theta Functions, Springer-Verlag, Die Grundlehren der mathematischen Wissenschaften, Band 194, (1972).

    Google Scholar 

  13. A.J. de John, N.I. Shepherd-Barron, A. van de Ven. On the Burkhardt quartic. Math. Ann. 286 (1990) 309–328.

    Article  MathSciNet  MATH  Google Scholar 

  14. K. Matsumoto, On modular functions in 2 variables attached to a family of hyperelliptic curves of genus 3. Ann. Scu. Norm. Sup. Pisa, XVI, (1989) 557–578.

    MathSciNet  MATH  Google Scholar 

  15. D. Mumford, On the equations defining abelian varieties. Invent. Math. 1 (1966) 287–358.

    Article  MathSciNet  MATH  Google Scholar 

  16. D. Mumford, Theta characteristics of an algebraic curve. Ann.sc. Ec. Norm. Sup. 4 (1971), 181–191.

    MathSciNet  MATH  Google Scholar 

  17. H. Rauch, H. Farkas, Theta functions with applications to Riemann surfaces. Baltimore: Williams and Wilkins (1974).

    MATH  Google Scholar 

  18. I.Satake Algebraic structures of symmetric domains. Ianami Shote, Publishers and Princeton University Press (1980).

    Google Scholar 

  19. N.I.Shepherd-Barron, On the Burkhardt quartic. Preprint, Univ. of Ill. at Chicago, (1986).

    Google Scholar 

  20. G. Shimura, On purely transcendental fields of automorphic functions of several variables. Osaka J. Math., 1 (1964) 1–14.

    MathSciNet  MATH  Google Scholar 

  21. A.Weil, Abelian varieties and the Hodge ring, in: Collected Papers III (1979) 421–429.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics RUU, P.O.Box 80.010, 3508TA, Utrecht, The Netherlands

    Bert van Geemen

Authors
  1. Bert van Geemen
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Edoardo Ballico Fabrizio Catanese Ciro Ciliberto

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag

About this paper

Cite this paper

van Geemen, B. (1992). Projective models of Picard modular varieties. In: Ballico, E., Catanese, F., Ciliberto, C. (eds) Classification of Irregular Varieties. Lecture Notes in Mathematics, vol 1515. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0098338

Download citation

  • DOI: https://doi.org/10.1007/BFb0098338

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55295-6

  • Online ISBN: 978-3-540-47016-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation