Steinness of bundles with fiber a Reinhardt bounded domain
Complex Variables
2007-05-23 v5
Abstract
Let E denote a bundle with fiber D and with basis B. Both D and B are assumed to be Stein. For D a Reinhardt bounded domain of dimension d=2 or 3, we give a necessary and sufficient condition on D for the existence of a non-Stein such E (Theorem 1); for d=2, we give necessary and sufficient criteria for E to be Stein (Theorem 2). For D a Reinhardt bounded domain of any dimension not intersecting any coordinate hyperplane, we give a sufficient criterion for E to be Stein (Theorem 3).
Cite
@article{arxiv.math/0408284,
title = {Steinness of bundles with fiber a Reinhardt bounded domain},
author = {Karl Oeljeklaus and Dan Zaffran},
journal= {arXiv preprint arXiv:math/0408284},
year = {2007}
}
Comments
To appear in Bull. Soc. Math. France