Steinness of bundles with fiber a Reinhardt bounded domain
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 nonStein 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).
 Publication:

arXiv Mathematics eprints
 Pub Date:
 August 2004
 arXiv:
 arXiv:math/0408284
 Bibcode:
 2004math......8284O
 Keywords:

 Mathematics  Complex Variables;
 32E10;
 32A07;
 32L05
 EPrint:
 To appear in Bull. Soc. Math. France