Algebraic deformations of compact Kähler surfaces (Q851004)
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scientific article; zbMATH DE number 5071438
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algebraic deformations of compact Kähler surfaces |
scientific article; zbMATH DE number 5071438 |
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Algebraic deformations of compact Kähler surfaces (English)
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9 November 2006
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The author proves a weakened version of \textit{K. Kodaira}'s result [Ann. Math. (2) 78, 1--40 (1963; Zbl 0171.19601)] namely: Theorem. A non-algebraic compact Kähler surface \(X\) with \(H^2(X,\Theta_X)= 0\) has arbitrarily small deformations which are algebraic. The proof makes no essentially no reference to the classification of surfaces.
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compact Kähler surface
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algebraic surface
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deformation
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