On the levi problem with singularities

Authors

  • Alaoui Youssef Institut Agronomique et Vétérinaire Hassan II.

DOI:

https://doi.org/10.4067/S0716-09172001000100006

Abstract

In section 1, we show that if X is a Stein normal complex space of dimension n and D ?? X an open subset which is the union of an increasing sequence D1 ? D2 ? ... ? Dn ?? ... of domains of holomorphy in X, then D is a domain of holomorphy. In section 2, we prove that a domain of holomorphy D which is relatively compact in a 2-dimensional normal Stein space X itself is Stein. In section 3, we show that if X is a Stein space of dimension n and D ? X an open subspace which is the union of an increasing sequence D1 ? D2 ? ... ? Dn ? ... of open Stein subsets of X, then D itself is Stein, if X has isolated singularities.

Author Biography

Alaoui Youssef, Institut Agronomique et Vétérinaire Hassan II.

Institut Agronomique et Vétérinaire Hassan II.

References

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Published

2017-04-24

How to Cite

[1]
A. Youssef, “On the levi problem with singularities”, Proyecciones (Antofagasta, On line), vol. 20, no. 1, pp. 83-91, Apr. 2017.

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Section

Artículos