Steinness of bundles with fiber a Reinhardt bounded domain - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2006

Steinness of bundles with fiber a Reinhardt bounded domain

Dan Zaffran
  • Fonction : Auteur
  • PersonId : 829269

Résumé

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).
Fichier principal
Vignette du fichier
Serre_Reinhardt_corrected.pdf (281.37 Ko) Télécharger le fichier
Loading...

Dates et versions

hal-00002645 , version 1 (20-08-2004)
hal-00002645 , version 2 (20-08-2004)
hal-00002645 , version 3 (14-10-2004)
hal-00002645 , version 4 (12-02-2005)
hal-00002645 , version 5 (03-02-2006)

Identifiants

Citer

Karl Oeljeklaus, Dan Zaffran. Steinness of bundles with fiber a Reinhardt bounded domain. 2006. ⟨hal-00002645v5⟩
162 Consultations
142 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More