On the levi problem with singularities

• Youssef, Alaoui ^[1]
  1. [1] Institut Agronomique et Vétérinaire Hassan II.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 20, Nº. 1, 2001, págs. 83-91
• Idioma: inglés
• DOI: 10.4067/S0716-09172001000100006
• Enlaces
  • Texto completo
• Resumen

  • 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.

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