English

Holomorphic fiber bundle with Stein base and Stein fibers

Complex Variables 2007-05-23 v1

Abstract

In this article, we prove that if Π:XΩ\Pi: X\to \Omega is a surjective holomorphic map, with Ω\Omega a Stein space and XX a complex manifold of dimension n3,n\geq 3, and if, for every xΩx\in \Omega there exists an open neighborhood UU such that Π1(U)\Pi^{-1}(U) is Stein, then XX is Stein

Cite

@article{arxiv.0705.1715,
  title  = {Holomorphic fiber bundle with Stein base and Stein fibers},
  author = {Youssef Alaoui},
  journal= {arXiv preprint arXiv:0705.1715},
  year   = {2007}
}
R2 v1 2026-06-21T08:27:33.827Z