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Smooth, but not complex-analytic pluripolar sets

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Abstract

It is shown that the exact -∞-sets of plurisubharmonic functions are not necessarily complex-analytic even if they are closed C -smooth real submanifolds.

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References

  1. DIEDERICH, K., FORNAESS, J.E.: Thin complements of complete Kähler domains. To appear in Math.Ann. (1982)

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Authors and Affiliations

  1. Universität Wuppertal Mathematik, Gaußstraße 20, D-5600, Wuppertal 1, W.Germany

    K. Diederich

  2. Matematisk Institutt, Universitetet i Oslo, Blindern, Oslo 3, Norway

    J. E. Fornaess

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  1. K. Diederich
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  2. J. E. Fornaess
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Diederich, K., Fornaess, J.E. Smooth, but not complex-analytic pluripolar sets. Manuscripta Math 37, 121–125 (1982). https://doi.org/10.1007/BF01239949

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  • DOI: https://doi.org/10.1007/BF01239949

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