Y. Alaoui

collaborators

5 papers

math.CV2026

Unbranched Riemann domains over Stein spaces and Cartier divisors

Youssef Alaoui

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

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.CV2026

The local Steiness problem with singularities

Youssef Alaoui

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

math.CV2025

Increasing unions of Stein spaces with singularities

Youssef Alaoui

We show that if $X$ is a Stein space and, if $I^c ◯ \subset X$ is exhaustable by a sequence $I^c ◯_{1} \subset I^c ◯_{2} \subset \dots \subset I^c ◯_{n} \subset \dots$ of open Stein subsets of $X$ ,…

math.CV2025

On $q$ -complete and $q$ -concave with corners complex manifolds

Youssef Alaoui

It is proved that if there exists a positive and continuous function $f$ on an $n$ -dimensional complex manifold $X$ , $q$ -convex with corners outside a compact set $K \subset X$ and…

Unbranched Riemann domains over Stein spaces and Cartier divisors

A generalization of Hartog's extension of line bundles

The local Steiness problem with singularities

Increasing unions of Stein spaces with singularities

On q-complete and q-concave with corners complex manifolds

On $q$ -complete and $q$ -concave with corners complex manifolds