Skip to main content
SpringerLink
Log in

Halbstetigkeitssätze für 1-konvexe holomorphe Abbildungen

  • 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

Literatur

  1. Andreotti, A., Grauert, H.: Théorèmes de finitude pour la cohomologie des espaces complexes. Bull. Soc. Math. France90, 193–259 (1962).

    Google Scholar 

  2. Godement, R.: Topologie algébrique et théorie des faisceaux. Paris: Hermann 1964.

    Google Scholar 

  3. Grauert, H.: Ein Theorem der analytischen Garbentheorie und die Modulräume komplexer Strukturen. Publ. Math. I.H.E.S. No.5, 5–64 (1960).

  4. —— Über Modifikationen und exzeptionelle analytische Mengen. Math. Ann.146, 331–368 (1962).

    Google Scholar 

  5. Grothendieck, A.: Eléments de géometrie algébrique. Publ. Math. I.H.E.S. No.11 (1961) et No.17 (1963).

  6. Knorr, K.: Noch ein Theorem der analytischen Garbentheorie. Preprint: Regensburg 1970.

  7. -- Schneider, M.: Relativexzeptionelle analytische Mengen. Preprint: Regensburg 1970.

  8. Markoe, A., Rossi, H.: Families of strongly pseudoconvex manifolds. Proc. Conf. Several Complex Variables. Park City, Utah: 1970.

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

    Google Scholar 

  10. Riemenschneider, O.: Über die Anwendung algebraischer Methoden in der Deformationstheorie komplexer Räume. Math. Ann.187, 40–55 (1970).

    Google Scholar 

  11. Siu, Y.-T.: Extending coherent analytic sheaves. Ann. of Math.90, 108–143 (1969).

    Google Scholar 

  12. —— A pseudoconcave generalization of Grauert's direct image theorem: I, II. Ann. Scuola Norm. Sup. Pisa24, 278–330 (1970).

    Google Scholar 

  13. —— The 1-convex generalization of Grauert's direct image theorem. Math. Ann.190, 203–214 (1971).

    Google Scholar 

  14. —— Dimensions of sheaf cohomology groups under holomorphic deformation. Math. Ann.192, 203–215 (1971).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. The Institute for Advanced Study, 08540, Princeton, N.J., USA

    Oswald Riemenschneider

  2. Mathematisches Institut der Universität, Bunsenstr. 3-5, BRD-3400, Göttingen, Deutschland

    Oswald Riemenschneider

Authors
  1. Oswald Riemenschneider
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The author received support from National Science Foundation Grant GP 7952 X 2 during the preparation of this paper at the Institute for Advanced Study.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Riemenschneider, O. Halbstetigkeitssätze für 1-konvexe holomorphe Abbildungen. Math. Ann. 192, 216–226 (1971). https://doi.org/10.1007/BF02052873

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02052873

Search

Navigation