Skip to main content
Log in

The Hartogs-type extension theorem for meromorphic maps into compact Kähler manifolds

  • Published:
Inventiones mathematicae Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  • [D-G] Docquier, F., Grauert, H.: Levisches Problem und Rungescher Satz für Teilgebiete Steinscher Mannigfaltigkeiten. Math. Ann.140, 94–123 (1960)

    Google Scholar 

  • [Gr] Griffiths, P.: Two theorems on extensions of holomorphic mappings. Invent. math.14, 27–62 (1971)

    Google Scholar 

  • [Gm] Gromov, M.: Pseudo-holomorphic curves in symplectic manifolds. Invent. math.82, 307–347 (1985)

    Google Scholar 

  • [C-H] Carlson, J., Harvey, R.: A remark on the universal cover of a Moishezon space. Duke Math. J.43, 497–500 (1976)

    Google Scholar 

  • [H] Hirschowitz, A.: Les deux types de méromorphie different. Journ. reine und angew. Math.313, 157–160 (1980)

    Google Scholar 

  • [Iv] Ivashkovich, S.: The Hartogs phenomenon for holomorphically convex Kähler manifolds. Math. USSR Izvestiya29, No. 1, 225–232 (1987)

    Google Scholar 

  • [M-W] Mok N., Wong, B.: Characterization of bounded domains covering Zariski dense subsets of compact complex spaces. Amer. J. Math.105, 1481–1487 (1983)

    Google Scholar 

  • [R] Remmert, R.: Holomorphe und meromorphé Abbildungen komplexer Räume. Math. Ann.133, 328–370 (1957)

    Google Scholar 

  • [Rh] de Rham, G.: Variétés differentiables. Hermann, Paris, 1960

    Google Scholar 

  • [S-U] Sacks, J., Uhlenbeck, K.: The existence of minimal 2-spheres. Annals of Math.113, 1–24 (1981)

    Google Scholar 

  • [Sh] Shiffman, B.: Extensions of holomorphic maps into Hermitian manifolds. Math. Ann.194, 249–258 (1971)

    Google Scholar 

  • [Sb] Sibony, N.: Quelques problems de prolongement de courants en analyse complexe. Duke Math. J.52, 157–197 (1985)

    Google Scholar 

  • [Si1] Siu, Y.-T.: Extension of meromorphic maps into Kähler manifolds. Annals of Math.102, 421–462 (1975)

    Google Scholar 

  • [Si2] Siu, Y.-T.: Every Stein subvariety admits a Stein neighbourhood. Invent. Math.38, 89–100 (1976)

    Google Scholar 

  • [Sz] Stolzenberg, G.: Volumes, Limits, and Extension of Analytic Varieties, Lecture Notes in Math.19 (1966)

  • [St] Stoll, W.: Über meromorphe Modifikation, II. Math. Z.61, 467–488 (1955)

    Google Scholar 

  • [Sg] Siegel, C.: Analytic functions of several complex variables. Institute for Advanced study, Princeton, 1949

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This work was partially supported by the Deutsche Forschungsgemeinschaft Schwerpunkt “Komplexe Mannigfaltigkeiten” during the authors stay at the Ruhr-Universität Bochum

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ivashkovich, S.M. The Hartogs-type extension theorem for meromorphic maps into compact Kähler manifolds. Invent Math 109, 47–54 (1992). https://doi.org/10.1007/BF01232018

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01232018

Keywords

Navigation