Steinness of bundles with fiber a Reinhardt bounded domain

dc.creatorOeljeklaus, Karl
dc.creatorZaffran, Dan
dc.date2004-08-20
dc.date2006-02-03
dc.date.accessioned2026-07-07T06:38:44Z
dc.date.available2026-07-07T06:38:44Z
dc.descriptionLet 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).
dc.descriptionTo appear in Bull. Soc. Math. France
dc.identifierhttps://arxiv.org/abs/math/0408284
dc.identifierhttp://arxiv.org/abs/math/0408284
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100844
dc.subjectComplex Variables
dc.subject32E10, 32A07, 32L05
dc.titleSteinness of bundles with fiber a Reinhardt bounded domain
dc.typetext

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