Characterization of the complex projective space by holomorphic vector fields (Q1922582)
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scientific article; zbMATH DE number 922492
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterization of the complex projective space by holomorphic vector fields |
scientific article; zbMATH DE number 922492 |
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Characterization of the complex projective space by holomorphic vector fields (English)
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1 September 1996
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We show that if an \(n\)-dimensional Moishezon manifold with Picard number 1 and the first Chern number \(\leq n + 1\), has a holomorphic vector field vanishing on a hypersurface, then it is biholomorphic to the complex projective space. As a corollary, we get a simple proof of Siu's theorem on the nondeformability of the complex projective space.
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holomorphic vector field
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complex projective space
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Moishezon manifold
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algebraic group action
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deformation of complex structures
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0.7670270800590515
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0.7637746334075928
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