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Un exemple de fibré holomorphe non de Stein à fibre \({\mathbb{C}}^ 2\) au-dessus du disque ou du plan. (An example of a non-Stein holomorphic fiber bundle over the disk or the plane, with fiber \({\mathbb{C}}^ 2)\). (French) Zbl 0594.32030

Sémin. analyse P. Lelong - P. Dobeault - H. Skoda, Années 1983/84, Lect. Notes Math. 1198, 98-104 (1986).
[For the entire collection see Zbl 0583.00011.]
It is constructed a simple example of a non-Stein holomorphic fiber bundle over the disk with fiber \({\mathbb{C}}^ 2\). Moreover, it is shown that all holomorphic functions on the bundle arise from functions on the base.
Reviewer: A.Pankov

MSC:

32L05 Holomorphic bundles and generalizations
32E10 Stein spaces

Citations:

Zbl 0583.00011