Skip to main content
SpringerLink
Log in

Das Spektrum torsionsfreier Garben I

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

Abstract

In this paper we study torsion free sheaves of arbitrary rank on protective spaces. These sheaves naturally occur in the closure of the moduli spaces of stable vector bundles. We generalize some of the techniques and results of Hartshorne [3], [4] to torsion free sheaves. Applications will be given in another paper.

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

Similar content being viewed by others

Literatur

  1. Barth, W. und Elencwajg, G.: Concernant la cohomologie des fibrés algébriques stables sur ℙn(C). LNM 683, Springer (1978) 1–24

  2. Hartshorne, R.: Algebraic Geometry. Graduate Texts in Math. 52, Springer (1977)

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

    Google Scholar 

  4. Hartshorne, R.: Stable reflexive sheaves, II. Invent. math. 66, 165–190 (1982)

    Google Scholar 

  5. Maruyama, M.: Moduli of stable sheaves II. J. Math. Kyoto Univ. 18, 557–614 (1978)

    Google Scholar 

  6. Okonek, C.: Reflexive Garben auf ℙ4. Math. Ann. 260, 211–237 (1982)

    Google Scholar 

  7. Okonek, C.: Moduli extremer reflexiver Garben auf ℙn. Crelles J. 338, 183–194 (1983)

    Google Scholar 

  8. Okonek, C., Schneider, M. und Spindler, H.: Vector bundles on complex protective spaces. Birkhäuser (1980)

  9. Okonek, C. und H. Spindler: Stabile reflexive Garben vom Rang 3 auf ℙ3 mit kleinen Chernklassen. Math. Ann. 264 (1983), 91–118

    Google Scholar 

  10. C. Okonek und H. Spindler: Reflexive Garben vom Rang r>2 auf ℙn. Crelles J. 344, 38–64 (1983)

    Google Scholar 

  11. Spindler, H.: Der Satz von Grauert-Mülich für beliebige semistabile holomorphe Vektorbündel über dem n-dimensionalen komplex-projektiven Raum. Math. Ann. 243 (1979), 131–14l

    Google Scholar 

  12. Spindler, H.: Die Modulräume stabiler 3-Bündel auf ℙ3, mit den Chernklassen c1=0, c3=c 22 −c2. Math. Ann. 256 (1981), 133–143

    Google Scholar 

  13. Spindler, H.: Holomorphe Vektorbündel auf ℙn mit trivialem Spaltungstyp. Habilitationsschrift, Göttingen (1981)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematisches Institut der Universität Göttingen, Bunsenstraße 3/5, 3400, Göttingen

    Christian Okonek & Heinz Spindler

Authors
  1. Christian Okonek
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Heinz Spindler
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Okonek, C., Spindler, H. Das Spektrum torsionsfreier Garben I. Manuscripta Math 47, 187–228 (1984). https://doi.org/10.1007/BF01174593

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01174593

Search

Navigation