Skip to main content
SpringerLink
Log in

Special instanton bundles on ℙ2N+1, their geometry and their moduli

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Altman, A.B., Kleiman, S.L.: Introduction to Grothendieck duality theory. (Lect. Notes Math., Vol. 146). Berlin Heidelberg New York: Springer 1970

    MATH  Google Scholar 

  2. Arbarello, E. et al.: Geometry of algebraic curves. Vol. I (Grundlehren Math. Wiss, Vol. 267). Berlin Heidelberg New York: Springer 1984

    Google Scholar 

  3. Barth, W.: Moduli of vector bundles on the projective plane. Invent. Math.42, 63–71 (1977)

    Article  MathSciNet  MATH  Google Scholar 

  4. Böhmer, W., Trautmann, G.: Special instanton bundles and Poncelét curves, Proc. Lambrecht Conf., 325–336, (Lect. Notes Math., Vol. 1273). Berlin Heidelberg New York: Springer 1987

    MATH  Google Scholar 

  5. Darboux, G.: Principes de géométrie analytique. Paris: Gauthier-Villars 1917

    MATH  Google Scholar 

  6. Fulton, W., Lazarsfeld, R.: Connectivity and its applications in algebraic geometry. In: Algebraic geometry Proc. University of Illinois at Chicago Circle, 1980 (Lect. Notes Math., Vol. 862). Berlin Heidelberg New York: Springer 1981

    Google Scholar 

  7. Grace, J.H., Young, A.: The algebra of invariants. Reprint orig., ed. 1903. New York: Chelsea

  8. Griffiths, P., Harris, J.: Principles of algebraic geometry. New York: Wiley 1978

    MATH  Google Scholar 

  9. Gruson, L., Peskine, C.: Courbes d l'espace projectif: variétés de sécantes. Proc. Nice Conf. 1981, pp. 1–31. Basel Boston Stuttgart: Birkhäuser 1982

    MATH  Google Scholar 

  10. Hartshorne, R.: Stable vector bundles of rank 2 on ℙ3. Math. Ann.238, 229–280 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  11. Hartshorne, R.: Stable reflexive sheaves. Math. Ann.254, 121–176 (1980)

    Article  MathSciNet  MATH  Google Scholar 

  12. Hirschowitz, A., Narasimhan, M.S.: Fibrés de t'Hooft spéciaux et applications, Proc. Nice Conf. 1981, pp. 143–163. Basel Boston Stuttgart: Birkhäuser 1982

    MATH  Google Scholar 

  13. Mumford, D.: Geometric invariant theory. Berlin Heidelberg New York: Springer 1965

    Book  MATH  Google Scholar 

  14. Okonek, C., Schneider, M., Spindler, H.: Vector bundles on complex projective spaces. Basel Boston Stuttgart: Birkhäuser 1980

    Book  MATH  Google Scholar 

  15. Okonek, C., Spindler, H.: Mathematical instanton bundles on ℙ2n+1. Crelies J.364, 35–50 (1986)

    MathSciNet  MATH  Google Scholar 

  16. Le Potier, J.: Sur l'espace de modules des fibres de Yang et Mills. Sérn. E.N.S. 1979–1982

  17. Salamon, S.M.: Quaternionic structures and twistor spaces, in: Global Riemannian geometry. New York Chichester Brisbane Toronto: Horwood 1984

    Google Scholar 

  18. Schwarzenberger, R.L.E.: Vector bundles on the projective plane. Proc. Lond. Math. Soc.11, 623–640 (1961)

    Article  MathSciNet  MATH  Google Scholar 

  19. Schwarzenberger, R.L.E.: The secant bundle of a projective variety. Proc. Lond. Math. Soc. 3, Ser.14, 369–384 (1964)

    Article  MathSciNet  MATH  Google Scholar 

  20. Serre, J.P.: Espaces fibrés algébriques. Exp 1, Séminaire Chevalley, 1958

  21. Spindler, H., Trautmann, G.: Rational normal curves and the geometry of special instanton bundles on ℙ2n+1. Preprint, Math. Gottingensis, Schriftenr. SFB Geom. Anal. Heft 18 (1987)

  22. Trautmann, G.: Poncelét curves and associated theta characteristics, Expos. Math.5, 29–64 (1988)

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. FB Mathematik der Universität Osnabrück, D-4500, Osnabrück, Federal Republic of Germany

    H. Spindler

  2. FB Mathematik der Universität Kaiserslautern, D-6750, Kaiserslantern, Federal Republic of Germany

    G. Trautmann

Authors
  1. H. Spindler
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. Trautmann
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Dedicated to H. Grauert on the occasion of his birthday

Rights and permissions

Reprints and permissions

About this article

Cite this article

Spindler, H., Trautmann, G. Special instanton bundles on ℙ2N+1, their geometry and their moduli. Math. Ann. 286, 559–592 (1990). https://doi.org/10.1007/BF01453589

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01453589

Keywords

Search

Navigation