Skip to main content

Vanishing theorems for varieties of low codimension

  • Conference paper
  • First Online:
Algebraic Geometry Sundance 1986

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1311))

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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. Atiyah, M., Complex analytic connections in fiber bundles, Trans. Amer. Math. Soc. 85, 181–207(1957).

    Article  MathSciNet  MATH  Google Scholar 

  2. Buchsbaum, D. and Eisenbud, D., Algebra structure for finite free resolution and some structure theorem for ideal of codimension 3, Amer. J. Math. 99, No. 3, 447–483(1974).

    Article  MathSciNet  MATH  Google Scholar 

  3. Ein, L., Varieties with small dual varieties I, Inv. Math. 86, 63–74(1986).

    Article  MathSciNet  MATH  Google Scholar 

  4. Fulton, W. and Lazarsfeld, R., Connectivity and its applications in algebraic geometry, Lect. Notes in Math. 862, 26–92(1981).

    Article  MathSciNet  MATH  Google Scholar 

  5. Hartshorne, R., Varieties in low codimension in projective space, Bull. Am. Math. Soc. 80, 1017–1032(1974).

    Article  MathSciNet  MATH  Google Scholar 

  6. Hartshorne, R., Algebraic Geometry, Springer, Heidelberg 1977.

    Book  MATH  Google Scholar 

  7. Hartshorne, R. and Ogus, A., On the factoriality of local rings of small embedding codimension, Comm. in Alg. 1 (5), 415–437 (1974).

    Article  MathSciNet  MATH  Google Scholar 

  8. Holme, A. and Schneider, M., A computer aided approach to codimension 2 subvarieties of ℙn; n≥6, preprint.

    Google Scholar 

  9. Lazarsfeld, R. and Van de Ven, A., Recent Work of F.L. Zak, DMD-Seminar.

    Google Scholar 

  10. Peternell, T., Le Potier, J., and Schneider, M., Vanishing theorem, linear and quadratic normality, preprint.

    Google Scholar 

  11. Sommese, A., Submanifold of abelin varieties, Math. Ann. 233, 229–250(1978).

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag

About this paper

Cite this paper

Ein, L. (1988). Vanishing theorems for varieties of low codimension. In: Algebraic Geometry Sundance 1986. Lecture Notes in Mathematics, vol 1311. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082909

Download citation

  • DOI: https://doi.org/10.1007/BFb0082909

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19236-7

  • Online ISBN: 978-3-540-39157-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics