Skip to main content
SpringerLink
Log in

Unirationality of the moduli spaces of curves of genus 11, 13 (and 12)

  • Published:
Inventiones mathematicae Aims and scope

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. Arbarello, E., Cornalba, M.: Su una congettura di Petri. Comment. Math. Helv.56, 1–38 (1981)

    Google Scholar 

  2. Arbarello, E., Sernesi, E.: The equation of a plane curve. Duke Math. J.46, 469–485 (1979)

    Google Scholar 

  3. Barth, W., Hulek, K.: Monads and moduli of vector bundles. Manuscr. Math.25, 323–347 (1978)

    Google Scholar 

  4. Chang, M.: Stable rank-2 reflexive sheaves onP 3 with smallc 2 and applications. Trans. A.M.S.: in press (1984)

  5. Harris, J., Mumford, D.: On the Kodaira dimension of the moduli space of curves. Invent. Math.67, 23–97 (1982)

    Google Scholar 

  6. Hartshorne, R.: Algebraic geometry. Berlin-Heidelberg-New York: Springer 1977

    Google Scholar 

  7. Hartshorne, R., Sols, I.: Stable rank 2 vector bundles onP 3 withc 1=−1,c 2=2. Crelle's J.325, 145–152 (1981)

    Google Scholar 

  8. Mori, S., Mukai, S.: Uniruledness of the moduli space of curves of genus 11. Algebraic Geometry: Proc. Franco-Japanese Conf., Lect. Notes, vo. 1016. Berlin-Heidelberg-New York: Springer 1983

    Google Scholar 

  9. Okonek, C., Schneider, M., Spindler, H.: Vector bundles on projective spaces. Boston: Birkhäuser 1980

    Google Scholar 

  10. Sernesi, E.: L'unirazionalità della varietà dei moduli delle curvi di genere dodici. Ann. Sc. Norm. Sup.-Pisa (IV)VIII, 405–439 (1981)

    Google Scholar 

  11. Sernesi, E.: On the existence of certain families of curves. Preprint

Download references

Author information

Authors and Affiliations

  1. Mathematics Department, California Institute of Technology, 91125, Pasadena, CA, USA

    M. -C. Chang

  2. Mathematics Department, University of Chicago, 60637, Chicago, IL, USA

    Z. Ran

Authors
  1. M. -C. Chang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Z. Ran
    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

Chang, M.C., Ran, Z. Unirationality of the moduli spaces of curves of genus 11, 13 (and 12). Invent Math 76, 41–54 (1984). https://doi.org/10.1007/BF01388490

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01388490

Keywords

Search

Navigation