Holomorphic fiber bundle with Stein base and Stein fibers

Youssef Alaoui

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arXiv · 0705.1715

Holomorphic fiber bundle with Stein base and Stein fibers

Youssef Alaoui

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Abstract

In this article, we prove that if $Π: X\to Ω$ is a surjective holomorphic map, with $Ω$ a Stein space and $X$ a complex manifold of dimension $n\geq 3,$ and if, for every $x\in Ω$ there exists an open neighborhood $U$ such that $Π^{-1}(U)$ is Stein, then $X$ is Stein

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BibTeX RIS

Youssef Alaoui. 2007-05-11. Holomorphic fiber bundle with Stein base and Stein fibers. https://arxiv.org/abs/0705.1715

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