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The Levi problem on complex spaces with singularities

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References

  1. Andreotti, A., Narasimhan, R.: Oka's Heftungslemma and the Levi problem for complex spaces. Trans. Amer. Math. Soc.111, 345–366 (1964)

    Google Scholar 

  2. Bremermann, H.: Über die Äquivalenz der pseudokonvexen Gebiete und der Holomorphiegebiete im Raum vonn komplexen Veränderlichen. Math. Ann.128, 63–91 (1954)

    Google Scholar 

  3. Boutet de Monvel, L., Hirschowitz, A., Pham, F.: Espaces de Hartogs. C.R. Acad. Sci. Paris273, Sér. A, 514–516 (1961)

    Google Scholar 

  4. Fornaess, J.E.: An increasing sequence of Stein manifolds whose limit is not Stein. Math. Ann.223, 275–277 (1976)

    Google Scholar 

  5. Fornaess, J.E.: The Levi problem in Stein spaces. Math. Scand. (to appear)

  6. Grauert, H.: On Levi's problem and the imbedding of real-analytic manifolds. Ann. of Math.68, 460–472 (1968)

    Google Scholar 

  7. Grauert, H.: Ein Theorem der analytischen Garbentheorie und die Modulräume komplexer Strukturen. Publ. Math. I.H.E.S.5, 233–292 (1960)

    Google Scholar 

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

    Google Scholar 

  9. Hörmander, L.: An introduction to complex analytis in several variables. Princeton: Van Nostrand 1966

    Google Scholar 

  10. Narasimhan, R.: The Levi problem for complex spaces. I. Math. Ann.142, 355–365 (1961). II. Math. Ann.146, 195–216 (1962)

    Google Scholar 

  11. Narasimhan, R.: A note on Stein spaces and their normalizations. Ann. Scuola Norm. Sup. Pisa16, 327–333 (1962)

    Google Scholar 

  12. Norguet, F.: Sur les domaines d'holomorphic des fonctions uniformes de plusieurs variables complexes. Bull. Soc. Math. France82, 137–159 (1954)

    Google Scholar 

  13. Norguet, F., Siu, Y.-T.: Holomorphic convexity of spaces of analytic cycles. Bull. Soc. Math. France105, 191–223 (1977)

    Google Scholar 

  14. Oka, K.: Domaines pseudoconvexes, Tôhoku Math. J.49, 15–52 (1942)

    Google Scholar 

  15. Oka, K.: Domaines finis sans point critique intérieur. Japanese J. Math.23, 97–155 (1953)

    Google Scholar 

  16. Richberg, R.: Stetige streng pseudokonvexe Funktionen. Math. Ann.175, 257–286 (1968)

    Google Scholar 

  17. Rossi, H.: The local maximum modulus principle. Ann. of Math.72, 1–11 (1960)

    Google Scholar 

  18. Siu, Y.-T.: Every Stein subvariety admits a Stein neighborhood. Invent. Math.38, 89–100 (1976)

    Google Scholar 

  19. Skoda, H.: Applications de techniquesL 2 à la théorie des idéaux d'une algèbre de fonctions holomorphes avec poids. Ann. Sci. Ecole Norm. Sup. Paris5, 545–579 (1972)

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Princeton University, 08544, Princeton, NJ, USA

    John Erik Fornaess

  2. Department of Mathematics, University of Chicago, 5734 University Avenue, 60637, Chicago, II, USA

    Raghavan Narasimhan

Authors
  1. John Erik Fornaess
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  2. Raghavan Narasimhan
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Fornaess, J.E., Narasimhan, R. The Levi problem on complex spaces with singularities. Math. Ann. 248, 47–72 (1980). https://doi.org/10.1007/BF01349254

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