Surfaces of the class VII\(_0\) admitting a vector field (Q1583923)
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scientific article; zbMATH DE number 1523505
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Surfaces of the class VII\(_0\) admitting a vector field |
scientific article; zbMATH DE number 1523505 |
Statements
Surfaces of the class VII\(_0\) admitting a vector field (English)
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28 February 2001
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The authors prove that a compact complex surface of class \(\text{VII}_0\) with \(b_2>0\) admitting an action of \((\mathbb{C},+)\) contains exactly \(b_2\) rational curves. It follows that the surface is a deformation of a blown-up primary Hopf surface.
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holomorphic foliation
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holomorphic vector fields
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compact complex surface
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