Skip to main content
SpringerLink
Log in

On the geometry in codimension 2 of Grassmann manifolds

  • Conference paper
  • First Online:
Classification of Algebraic Varieties and Compact Complex Manifolds

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 412))

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 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.95
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. W. Barth and A. Van de Ven. A decomposability criterion for algebraic 2-bundles on projective spaces. To appear in Inv. Math.

    Google Scholar 

  2. S.S. Chern. Complex manifolds without potential theory. Van Nostrand, Princeton N.J. (1967).

    MATH  Google Scholar 

  3. R. Hartshorne, E. Rees and E. Thomas. Non-smoothing of algebraic cycles on Grassmann varieties. To appear.

    Google Scholar 

  4. R. Hartshorne. Varieties of small codimension in projective space. To appear.

    Google Scholar 

  5. M.E. Larsen. On the topology of complex projective manifolds. Inv. Math. 19, 251–260 (1973).

    Article  MathSciNet  MATH  Google Scholar 

  6. S. Lojasiewicz. Triangulation of semi-analytic sets. Ann. Scuola Norm. Pisa 18, 449–474 (1964).

    MathSciNet  MATH  Google Scholar 

  7. A. Ogus. On the formal neighborhood of a subvariety of projective space. To appear.

    Google Scholar 

  8. O. Riemenschneider. Über die Anwendung algebraischer Methoden in der Deformationstheorie komplexer Räume. Math. Ann. 187, 40–55 (1970).

    Article  MathSciNet  MATH  Google Scholar 

  9. A. Van de Ven. Over de homologiestructuur van enige typen vezelruimten. Van Gorcum, Assen (1957).

    Google Scholar 

  10. A. Van de Ven. On uniform vector bundles. Math. Ann. 195, 245–248 (1972).

    MathSciNet  MATH  Google Scholar 

Download references

Authors
  1. W. Barth
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Van de Ven
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Herbert Popp

Rights and permissions

Reprints and permissions

Copyright information

© 1974 Springer-Verlag

About this paper

Cite this paper

Barth, W., Van de Ven, A. (1974). On the geometry in codimension 2 of Grassmann manifolds. In: Popp, H. (eds) Classification of Algebraic Varieties and Compact Complex Manifolds. Lecture Notes in Mathematics, vol 412. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066152

Download citation

  • DOI: https://doi.org/10.1007/BFb0066152

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06951-5

  • Online ISBN: 978-3-540-37877-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation