Skip to main content
SpringerLink
Log in

Surfaces on quintic threefolds associated to the Horrocks-Mumford bundle

  • Conference paper
  • First Online:
Arithmetic of Complex Manifolds

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1399))

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 39.99
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. Barth, W.,Hulek, K.,Moore, R.: Degenerations of Horrocks-Mumford surfaces. Math.Ann.277,735–755 (1987)

    Article  MathSciNet  MATH  Google Scholar 

  2. Clemens, H.:A note on some formal properties of the infinitesimal Abel-Jacobi mapping. Geometry today,Int.Conf., Rome 1984, Prog.Math.60,69–73(1985).

    MathSciNet  MATH  Google Scholar 

  3. Fulton, W.:Intersection Theory.Berlin,Heidelberg, New York: Springer 1984.

    Book  MATH  Google Scholar 

  4. Hartshorne, R.:Algebraic Geometry.Berlin,Heidelberg, New York: Springer 1977.

    Book  MATH  Google Scholar 

  5. Horrocks, G.,Mumford, D.:A rank 2 vector bundle on P4 with 15.000 symmetries. Topology 12,63–81(1973).

    Article  MathSciNet  MATH  Google Scholar 

  6. Peskine, C.,Szpiro, L.:Liaison des variétés algébriques I. Invent.Math.26,271–302(1974)

    Article  MathSciNet  MATH  Google Scholar 

  7. Schoen, C.:Algebraic cycles on certain desingularized nodal hypersurfaces. Math.Ann.270,17–27(1985).

    Article  MathSciNet  MATH  Google Scholar 

  8. Schoen, C.:On the geometry of a special determinantal hypersurface associated to the Mumford-Horrocks vector bundle. J.Reine Angew.Math.364,85–111(1986).

    MathSciNet  MATH  Google Scholar 

  9. Werner, J.:Kleine Auflösungen spezieller dreidimensionaler Varietäten. Thesis.M.P.I.,Bonn 1987.

    MATH  Google Scholar 

Download references

Author information

Author notes

  1. Alf Bjørn Aure

    Present address: Institutt for matematiske fag Norges tekniske høgskole, N-7034, Trondheim

Authors and Affiliations

  1. Mathematisches Institut, Universität Erlangen-Nürnberg, Bismarckstr. 1 1/2, D-8520, Erlangen

    Alf Bjørn Aure

Authors
  1. Alf Bjørn Aure
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Wolf-P. Barth Herbert Lange

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Springer-Verlag

About this paper

Cite this paper

Aure, A.B. (1989). Surfaces on quintic threefolds associated to the Horrocks-Mumford bundle. In: Barth, WP., Lange, H. (eds) Arithmetic of Complex Manifolds. Lecture Notes in Mathematics, vol 1399. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0095964

Download citation

  • DOI: https://doi.org/10.1007/BFb0095964

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51729-0

  • Online ISBN: 978-3-540-46791-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation