Skip to main content

On some restriction theorems for semistable bundles

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNMCIME,volume 996))

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

Buying options

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Barth, W.: "Some properties of stable rank-2 vector bundles on ℙn", Math. Ann. 226, 125–150 (1977).

    Article  MATH  MathSciNet  Google Scholar 

  2. Ein, L.: "Stable Vector Bundles on projective spaces in Char. p > 0", Math. Ann. 254, 53–72 (1980).

    Article  MATH  MathSciNet  Google Scholar 

  3. Ein, L., Hartshorne, R., Vogelaar, H.: "Restriction Theorems for Stable Rank 3 Vector Bundles on ℙn", Math. Ann. 259, 541–569 (1982).

    Article  MATH  MathSciNet  Google Scholar 

  4. Elencwajg, Hirschowitz, Schneider: "Les Fibrés Uniforms de Rang au Plus n sur ℙn (ℂ) Sont Ceux Qu'on Croit", (Preprint).

    Google Scholar 

  5. Forster, Hirschowitz, Schneider: "Type De Scindage Généralisé Pour Les Fibrés Stables", (Preprint).

    Google Scholar 

  6. Lang, H.: "On Stable and Uniform Rank — 2 Vector Bundles on ℙ2 in characteristic P", Manuscripta Math. 29, 11–28 (1979).

    Article  MathSciNet  Google Scholar 

  7. Langton, S.: "Valuative criteria for families of vector bundles on algebraic varieties", Ann. Math. 101, 88–110 (1975).

    Article  MATH  MathSciNet  Google Scholar 

  8. Maruyama, M.: "The Theorem of Grauert-Mullich-Spindler", Math. Ann. 255, 317–333 (1981).

    Article  MATH  MathSciNet  Google Scholar 

  9. Maruyama, M.: "Boundedness of Semistable Sheaves of Small Ranks", Nagoya Math. J. 78, 65–94 (1980).

    MATH  MathSciNet  Google Scholar 

  10. Maruyama, M.: "Moduli of Stable Sheaves II", J. Math. Kyoto Univ., 18 (1978).

    Google Scholar 

  11. Mehta, V.B., Ramanathan, A.: "Semistable Sheaves on Projective Varieties and their Restriction to Curves", Math. Ann. 258, 213–224 (1982).

    Article  MATH  MathSciNet  Google Scholar 

  12. Ramanan, S., Ramanathan, A.: "Some remarks on the Unstability flag", (Preprint).

    Google Scholar 

  13. Weil, A.: "Sur les Critère d'équivalence en géometrie algébrique", Math. Ann. 128, 95–127.

    Google Scholar 

  14. Hartshorne, R.: "Stable Vector Bundles of rank 2 on ℙ3", Math. Ann. 238, 229–280 (1978).

    Article  MATH  MathSciNet  Google Scholar 

  15. Schneider, M.: Chernklassen semi-stabilen Vektorraum bündel Vom Rang 3 auf Hyperebenen des Projectiven Raumes. Grelle J. 323, 177–192 (1981).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Mehta, V.B. (1983). On some restriction theorems for semistable bundles. In: Gherardelli, F. (eds) Invariant Theory. Lecture Notes in Mathematics, vol 996. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063239

Download citation

  • DOI: https://doi.org/10.1007/BFb0063239

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12319-4

  • Online ISBN: 978-3-540-40043-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics