Skip to main content
Log in

Pseudoconcave homogeneous surfaces

  • Published:
Commentarii Mathematici Helvetici

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.

References

  1. Andreotti, A.,Théorèmes de dépendance algébrique sur les espaces complexes pseudo-concaves, Bull. Soc. Math. France91 (1963), 1–38.

    MathSciNet  Google Scholar 

  2. —,On the complex structures of aclass of simply-connected manifolds, Algebraic-Geometry and Topology (A Symposium in honor of S. Lefschetz) Princeton University Press, Princeton, New Jersey (1957), 53–77.

    Google Scholar 

  3. Andreotti, A. andGrauert, H.,Algebraische Körper von automorphen Funktionen, Nachr. Akad. Wiss. Göttingen (1961), 39–48.

  4. —,Théorèmes de finitude pour la cohomologie des espaces complexes, Bull. Soc. Math. France90 (1962), 193–259.

    MathSciNet  Google Scholar 

  5. —, andHuckleberry, A.,Pseudoconcave Lie groups, Compositio Math.25 (1972), 109–115.

    MathSciNet  Google Scholar 

  6. —, andSiu, Y. T.,Projective imbeddings of pseudoconcave spaces, Ann. Scuola Norm. Sup. Pisa (3)24 (1970), 231–278.

    MathSciNet  Google Scholar 

  7. Barth, W. andOtte, M.,Invariante holomorphe Funktionen auf reduktiven Liegruppen, Math. Ann.201 (1973), 97–112.

    Article  MathSciNet  Google Scholar 

  8. —,Über fast-uniforme Untergruppen komplexer Liegruppen und auflösbare komplexe Mannigfaltigkeiten, Comment. Math. Helv.44 (1969), 269–281.

    Article  MathSciNet  Google Scholar 

  9. Borel, A., andRemmert, R.,Über kompakte homogene Kählersche Mannigfaltigkeiten, Math. Ann.145 (1962), 429–439.

    Article  MathSciNet  Google Scholar 

  10. Gilligan, B., andHuckleberry, A.,Remarks on non-compact homogeneous manifolds (to appear).

  11. Gillian, B., andHuckleberry, A.,On non-compact complex nil-manifolds (to appear).

  12. Grauert, H.,Über Modifikationen und exzeptionelle analytische Mengen, Math. Ann.146 (1962), 331–368.

    Article  MathSciNet  Google Scholar 

  13. Hirzebruch, F.,Über eine Klasse von einfach-zusammenhangenden komplexen Mannigfaltigkeiten, Math. Ann.124 (1951), 77–86.

    Article  MathSciNet  Google Scholar 

  14. Kodaira, K.,On the structure of compact complex analytic surfaces II, Amer. J. Math.88 (1966), 682–721.

    Article  MathSciNet  Google Scholar 

  15. Laufer, H.,Normal two-dimensional singularities, Annals of Mathematics Studies 71, Princeton University Press, Princeton, New Jersey (1971).

    MATH  Google Scholar 

  16. Matsushima, Y.,Espaces homogènes de Stain des groupes de Lie complexes I, Nagoya Math. J.16 (1960), 205–218.

    MathSciNet  Google Scholar 

  17. —,Espaces homogènes de Stein des groupes de Lie complexes II, Nagoya Math. J.18 (1961), 153–164.

    MathSciNet  Google Scholar 

  18. Morimoto, A.,Non-compact complex Lie groups without non-constant holomorphic functions, Proceedings of the Conference on Complex Analysis, Minneapolis (1964), 256–272.

  19. Oeljeklaus, E.,Ein Hebbarkeitssatz für Automorphismengruppen kompakter komplexer Manigfaltigkeiten, Math. Ann.190 (1970), 154–166.

    Article  MathSciNet  Google Scholar 

  20. Piatetski-Shapiro, I.,Automorphic functions and the geometry of classifical domains, Gordon and Breach, New York (1969).

    Google Scholar 

  21. Potters, J.,On almost homogeneous compact complex analytic surfaces, Inv. Math.8 (1969), 244–266.

    Article  MathSciNet  Google Scholar 

  22. Suwa, T.,Compact quotient spaces of C 2 by affine transformation groups, J. Diff. Geo.10 (1975), 239–252.

    MathSciNet  Google Scholar 

  23. Tits, J.,Espaces homogènes complexes compacts, Comm. Math. Helv.,37 (1962), 111–120.

    MathSciNet  Google Scholar 

  24. Wang, H. C.,Closed manifolds with homogeneous complex structure, Amer. J. Math.76 (1954), 1–32.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Partially supported by NRC Operating Grant A-8739.

Partially supported by NSF Grant MCS 75-07086A01.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gilligan, B., Huckleberry, A. Pseudoconcave homogeneous surfaces. Commentarii Mathematici Helvetici 53, 429–438 (1978). https://doi.org/10.1007/BF02566088

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02566088

Keywords

Navigation