The smooth invariance of the Kodaira dimension of a complex surface (Q1901663)
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scientific article; zbMATH DE number 817702
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The smooth invariance of the Kodaira dimension of a complex surface |
scientific article; zbMATH DE number 817702 |
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The smooth invariance of the Kodaira dimension of a complex surface (English)
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11 March 1997
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A proof of the following theorem is outlined: A complex surface of general type cannot be diffeomorphic to a rational surface. This implies that any complex surface diffeomorphic to a rational surface is rational. On the other side, any two diffeomorphic complex surfaces have the same Kodaira dimension, which was conjectured by Van de Ven.
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minimal surface
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complex surface of general type
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rational surface
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Kodaira dimension
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0.91931325
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0.8970132
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0.8909394
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0.88836604
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0.8876785
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0.8868042
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0.88599414
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