On twistor spaces of the class \({\mathcal C}\) (Q909077)
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scientific article; zbMATH DE number 4136342
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On twistor spaces of the class \({\mathcal C}\) |
scientific article; zbMATH DE number 4136342 |
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On twistor spaces of the class \({\mathcal C}\) (English)
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1991
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A (very) special case of the main result of this paper is the simple connectedness of any Moishezon manifold Z containing a smooth rational curve C with ample normal bundle \(N_{C| Z}\). When Z is unirational, this is due to J. P. Serre. As an application, only \(S^ 4\) and connected sums of \({\mathbb{C}}{\mathbb{P}}_ 2's\) can have Moishezon twistor spaces. Recent examples of C. Lebruin and then H. Kurke show that this is sharp.
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fundamental group
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simple connectedness of any Moishezon manifold
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twistor spaces
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0.9305643
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0.91368836
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0.9134853
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