Classification of surfaces of general type with Euler number 3 (Q2838626)
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scientific article; zbMATH DE number 6185834
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classification of surfaces of general type with Euler number 3 |
scientific article; zbMATH DE number 6185834 |
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Classification of surfaces of general type with Euler number 3 (English)
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10 July 2013
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Euler-Poincaré characteristic
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fake projective planes
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surfaces of general type
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The paper under review deals with the classification of surfaces of general type with minimal Euler-Poincaré characteristic. The author proves that they must be fake projective planes unless \(h^{1,0}(S)=1\). This can happen only in two cases, up to biholomorphisms, which are also conjugate of one another. The surfaces and their properties are explicitly described.
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