Y. Alaoui

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20012026

most citedA generalization of the Levi problem with singularities

1 citations · 1 across the 10 of their papers we have counts for

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math.CV2026

A generalization of Hartog's extension of line bundles

Youssef Alaoui

In this article, we prove that if $X$ is a complex manifold of dimension $n \geq 4$ such that there exists a $q$ -convex with corners function $f \in F_{q} (X)$ , then every holomorphic…

math.CV2011

On the integral homology and counterexamples to the Andreotti-Grauert conjecture

Mohamed Mouçouf, Youssef Alaoui

In this paper, we prove by means of a counterexample that there exist pair of integers (n,p) with $n \geq 3$ , $2 \leq p \leq n - 1$ , and open sets $D$ in $C^{n}$ which are cohomological…

math.CV2011

Increasing unions of Stein spaces with singularities

Youssef Alaoui

We show that if $X$ is a Stein space and, if $Ω \subset X$ is exhaustable by a sequence $Ω_{1} \subset Ω_{2} \subset \dots \subset Ω_{n} \subset \dots$ of open Stein subsets of $X$ , the…

math.CV2009

The local Steiness problem with singularities

Youssef Alaoui

In this article, we prove that if $Π : X \to Ω$ is an unbranched Riemann domain with $Ω$ Stein of dimension $n$ and $Π$ a locally $q$ -complete morphism, then $X$ is cohomolog…

math.CV2008

On q-Runge domains

Youssef Alaoui

In $[2]$ , Coltoiu gave an example of a domain $D\subset\complexes^{6}$ which is 4-complete such that for every ${\mathcal{F}}\in Coh(\complexes^{6})$ the restriction map $H^{3}(\co…

math.CV2008

Unbranched Riemann domains over Stein spaces and Cartier divisors

Youssef Alaoui

It is proved that an unbranched Riemann domain $Π : X \to Y$ over an arbitrary Stein complex space of dimension $n \geq 2$ is Stein if and only if $X$ is cohomologically $2$ -c…