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Cross Theorems with Singularities

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Abstract

We establish extension theorems for separately holomorphic mappings defined on sets of the form W∖M with values in a complex analytic space which possesses the Hartogs extension property. Here W is a 2-fold cross of arbitrary complex manifolds and M is a set of singularities which is locally pluripolar (resp. thin) in fibers.

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Authors and Affiliations

  1. School of Mathematics, Korea Institute for Advanced Study, 207-43 Cheongryangni-2dong, Dongdaemun-gu, Seoul, 130-722, Korea

    Viêt-Anh Nguyên

  2. Institut für Mathematik, Carl von Ossietzky Universität Oldenburg, P.O. Box 2503, 26111, Oldenburg, Germany

    Peter Pflug

Authors
  1. Viêt-Anh Nguyên
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  2. Peter Pflug
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Correspondence to Peter Pflug.

Additional information

Communicated by Kang-Tae Kim.

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Nguyên, VA., Pflug, P. Cross Theorems with Singularities. J Geom Anal 20, 193–218 (2010). https://doi.org/10.1007/s12220-009-9103-x

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  • DOI: https://doi.org/10.1007/s12220-009-9103-x

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