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dc.creatorYOUSSEF,ALAOUI
dc.date2001-05-01
dc.date.accessioned2020-02-17T15:26:50Z
dc.date.available2020-02-17T15:26:50Z
dc.identifierhttps://scielo.conicyt.cl/scielo.php?script=sci_arttext&pid=S0716-09172001000100006
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/126982
dc.descriptionIn section 1, we show that if X is a Stein normal complex space of dimension n and D <FONT FACE=Symbol>ÌÌ</FONT> X an open subset which is the union of an increasing sequence D1 <FONT FACE=Symbol>Ì</FONT> D2 <FONT FACE=Symbol>Ì</FONT> ... <FONT FACE=Symbol>Ì</FONT> Dn <FONT FACE=Symbol>Ì</FONT> <FONT FACE=Symbol>Ì</FONT> ... 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 <FONT FACE=Symbol>Ì</FONT> X an open subspace which is the union of an increasing sequence D1 <FONT FACE=Symbol>Ì</FONT> D2 <FONT FACE=Symbol>Ì</FONT> ... <FONT FACE=Symbol>Ì</FONT> Dn <FONT FACE=Symbol>Ì</FONT> ... of open Stein subsets of X, then D itself is Stein, if X has isolated singularities
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dc.languageen
dc.publisherUniversidad Católica del Norte, Departamento de Matemáticas
dc.relation10.4067/S0716-09172001000100006
dc.rightsinfo:eu-repo/semantics/openAccess
dc.sourceProyecciones (Antofagasta) v.20 n.1 2001
dc.titleON THE LEVI PROBLEM WITH SINGULARITIES


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