On the Levi problem with singularities
| dc.creator | Youssef, Alaoui | |
| dc.date | 2001-01-11 | |
| dc.date.accessioned | 2026-07-07T04:39:38Z | |
| dc.date.available | 2026-07-07T04:39:38Z | |
| dc.description | In section 1, we show that if $X$ is a Stein normal complex space of dimension n and $D\subset \subset X$ an open subset which is the union of an increasing sequence $D_{1}\subset D_{2}\subset ...\subset D_{n}\subset >...$ 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 $D\subset X$ an open subspace which is the union of an increasing sequence $D_{1}\subset D_{2}\subset ...\subset D_{n}\subset ...$ of open Stein subsets of $X$. then $D$ itself is Stein, if $X$ has isolated singularities. | |
| dc.description | 8 pages, no figures, latex | |
| dc.identifier | https://arxiv.org/abs/math/0101104 | |
| dc.identifier | http://arxiv.org/abs/math/0101104 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60743 | |
| dc.subject | Complex Variables | |
| dc.subject | 32E40; 32E10 | |
| dc.title | On the Levi problem with singularities | |
| dc.type | text |