Skip to main content
SpringerLink
Log in

The Levi problem for complex spaces II

  • 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. Andreotti, A., andH. Grauert: Forthcoming paper on cohomological codimension andq-convex spaces; see the announcement byH. Grauert in Topologie algébrique et géométrie différentielle, Bull. soc. math. France87, 341–350 (1959).

    Google Scholar 

  2. Behnke, H., u.K. Stein: Approximation analytischer Funktionen in vorgegebenen Gebieten des Raumes vonn komplexen Veränderlichen, Nachr. Ges. der Wissenschaften zu Göttingen1, 15 (1939).

    Google Scholar 

  3. Cartan, H.: Quotients of complex analytic spaces, in Contributions to Function Theory, report of an International Colloquium, Tata Institute of Fundamental Research, Bombay, 1960, 1–15.

  4. Cartan, H., etJ. P. Serre: Un théorème de finitude concernant les variétés analytiques compactes. Compt. rend. Acad. Sci. (Paris)237, 128–130 (1953); see alsoH. Cartan, Un théorème de finitude, Exposé XVII in Sém.H. Cartan, E.N.S., 1953/54.

    Google Scholar 

  5. Docquier, F., u.H. Grauert: Levisches Problem und Rungescher Satz für Teilgebiete Steinscher Mannigfaltigkeiten. Math. Ann.140, 94–123 (1960).

    Google Scholar 

  6. Grauert, H.: On Levi's problem and the imbedding of real analytic manifolds. Ann. Math.68, 460–472 (1958).

    Google Scholar 

  7. Grauert, H.: Ein Theorem der analytischen Garbentheorie und die Modulräume komplexer Strukturen. Publications mathématiques, Institut des Hautes Études Scientifiques, Paris, 1960, No. 5.

    Google Scholar 

  8. Grauert, H., u.R. Remmert: Zur Theorie der Modifikationen. Math. Ann.129, 274–296 (1955).

    Google Scholar 

  9. Narasimhan, R.: The Levi Problem for complex spaces. Math. Ann.142, 355–365 (1961).

    Google Scholar 

  10. Narasimhan, R.: Imbedding of holomorphically complete complex spaces. Am. J. Math.82, 917–934 (1960).

    Google Scholar 

  11. Norguet, F.: Problème de Levi et plongement des variétés analytiques réelles, Sém. Bourbaki, Exposé173 (1958/59).

  12. Oka, K.: Sur les fonctions analytiques des plusieurs variables. IX. Domaines finis sans points critiques intérieur, Japan. J. Math.23, 97–155 (1953).

    Google Scholar 

  13. Remmert, R.: Holomorphe and meromorphe Abbildungen komplexer Räume. Math. Ann.133, 328–370 (1957).

    Google Scholar 

  14. Remmert, R.: Reduction of complex spaces, in Seminars on Analytic Functions, Princeton, 1957, Vol. I, 190–205.

    Google Scholar 

  15. Stein, K.: Überlagerung holomorph-vollständiger komplexer Räume. Arch. Math.7, 354–361 (1956).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Bombay

    Raghavan Narasimhan

Authors
  1. Raghavan Narasimhan
    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

Narasimhan, R. The Levi problem for complex spaces II. Math. Ann. 146, 195–216 (1962). https://doi.org/10.1007/BF01470950

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01470950

Keywords

Search

Navigation