Skip to main content
SpringerLink
Log in

The classC is not stable by small deformations

  • 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. Altiyah, M.F., Hitchin, N.J., Singer, I.M.: Self-duality in four dimensional Riemannian geometry. Proc. R. Soc. Lond. A362, 452–461 (1978)

    Google Scholar 

  2. Besse, A.: Einstein manifolds. (Erg. Math., 3. Folge, Bd. 10) Berlin Heidelberg New York: Springer 1987

    Google Scholar 

  3. Campana, F.: Compacité et algébricité dans l'espace des cycles. Math. Ann.251, 7–18 (1980)

    Google Scholar 

  4. Campane, F.: On twistor spaces in the classℰ J. Diff. Geom. (in press)

  5. Campana, F.: Réduction algébrique d'un morphisme Kählérien propre et applications. Math. Ann.256, 157–189 (1981)

    Google Scholar 

  6. Donaldson, S.K., Friedman, R.: Connected sums of self-dual manifolds and deformations of singular spaces. Nonlinearity2, 197–239 (1989)

    Google Scholar 

  7. Friedman, R.: Simultaneous resolutions of bluefold double points. Math. Ann.274, 671–699 (1986)

    Google Scholar 

  8. Grauert, H.: Ein Theorem der analytischen Garbentheorie und die Modulräume komplexer Strukturen. Publ. Math. Hautes Etud. Sci.5, 1–64 (1960)

    Google Scholar 

  9. Hitchin, N.: Kählerian twistor spaces. Proc. Lond. Math. Soc.43, 133–150 (1981)

    Google Scholar 

  10. Hitchin, N.: Linear field equations on self-dual spaces. Proc. R. Soc. Lond., Ser. A370, 173–191 (1988)

    Google Scholar 

  11. Horikawa, E.: On deformations of holomorphic maps. III. Math. Ann.222, 275–282 (1976)

    Google Scholar 

  12. Kawamata, Y., Matsuda, K., Matsuki, K.: Introduction to the minimal problem. Algebraic geometry. Sendai 1985. Adv. Stud. Pure Math.10, 283–360 (1987)

    Google Scholar 

  13. Spencer, K.K.: On deformations of complex analytic structures. III. Ann. Math.71, 43–76 (1960)

    Google Scholar 

  14. Kurke, H.: Twistor spaces onn-CP 2. Preprint Erlangen

  15. Lebrun, C.: Explicit self-dual metrics on (#n CP 2). Preprint Princeton

  16. Poon, S.: Algebraic dimension of twistor spaces. Math. Ann.282, 621–627 (1988)

    Google Scholar 

  17. Poon, S.: On twistor spaces admitting effective divisors of degree one (in preparation)

  18. Ville, M.: Sur la dimension algébrique des espaces des twisteurs des variétés selfduales. Preprint

Download references

Author information

Authors and Affiliations

  1. Département de Mathématiques, Université de Nancy 1, F-54506, Vandœuvre les Nancy Cedex, France

    F. Campana

Authors
  1. F. Campana
    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

Campana, F. The classC is not stable by small deformations. Math. Ann. 290, 19–30 (1991). https://doi.org/10.1007/BF01459236

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01459236

Keywords

Search

Navigation