Steinness of bundles with fiber a Reinhardt bounded domain

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Let E denote a holomorphic bundle with fiber D and with basis B. Both D and B are assumed to be Stem. 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).
Publisher
FRENCH MATHEMATICAL SOC
Issue Date
2006
Language
English
Article Type
Article
Keywords

SERRE PROBLEM; CONVEXITY

Citation

BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, v.134, no.4, pp.451 - 473

ISSN
0037-9484
URI
http://hdl.handle.net/10203/88396
Appears in Collection
MA-Journal Papers(저널논문)
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