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The Levi problem for Riemann domains over Stein spaces with isolated singularities

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Abstract

We consider the following question: Let \({p:Y \rightarrow X}\) be an unbranched Riemann domain and assume that X is a Stein space and p is a Stein morphism. Does it follow that Y is Stein ? We show that the answer is affirmative if X has isolated singularities. This generalizes a result of Andreotti and Narasimhan.

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Authors and Affiliations

  1. Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, Bucureşti, 014700, Romania

    Mihnea Colţoiu

  2. Mathematik, Universität Wuppertal, Gausstr. 20, Wuppertal, 42095, Germany

    Klas Diederich

Authors
  1. Mihnea Colţoiu
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  2. Klas Diederich
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Corresponding author

Correspondence to Mihnea Colţoiu.

Additional information

The first author was partially supported by Romanian Ministry of Education and Research grants Ceres 3-28/2003 and 2-CEx06-11/25.07.06.

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Colţoiu, M., Diederich, K. The Levi problem for Riemann domains over Stein spaces with isolated singularities. Math. Ann. 338, 283–289 (2007). https://doi.org/10.1007/s00208-006-0075-x

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  • DOI: https://doi.org/10.1007/s00208-006-0075-x

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