ON THE LEVI PROBLEM WITH SINGULARITIES
In 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...
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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2001
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oai:scielo:S0716-091720010001000062001-10-08ON THE LEVI PROBLEM WITH SINGULARITIESYOUSSEF,ALAOUIIn 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 singularitiesinfo:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.20 n.1 20012001-05-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172001000100006en10.4067/S0716-09172001000100006 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| description |
In 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 |
| author |
YOUSSEF,ALAOUI |
| spellingShingle |
YOUSSEF,ALAOUI ON THE LEVI PROBLEM WITH SINGULARITIES |
| author_facet |
YOUSSEF,ALAOUI |
| author_sort |
YOUSSEF,ALAOUI |
| title |
ON THE LEVI PROBLEM WITH SINGULARITIES |
| title_short |
ON THE LEVI PROBLEM WITH SINGULARITIES |
| title_full |
ON THE LEVI PROBLEM WITH SINGULARITIES |
| title_fullStr |
ON THE LEVI PROBLEM WITH SINGULARITIES |
| title_full_unstemmed |
ON THE LEVI PROBLEM WITH SINGULARITIES |
| title_sort |
on the levi problem with singularities |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2001 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172001000100006 |
| work_keys_str_mv |
AT youssefalaoui ontheleviproblemwithsingularities |
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