Optimal bound for the number of \((-1)\)-curves on extremal rational surfaces (Q1607926)
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scientific article; zbMATH DE number 1780409
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal bound for the number of \((-1)\)-curves on extremal rational surfaces |
scientific article; zbMATH DE number 1780409 |
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Optimal bound for the number of \((-1)\)-curves on extremal rational surfaces (English)
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13 August 2002
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Summary: We give an optimal bound for the number of \((-1)\)-curves on an extremal rational surface \(X\) under the assumption that \(-K_{X}\) is numerically effective and has self-intersection zero. We also prove that a nonelliptic extremal rational surface has at most nine \((-1)\)-curves.
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projective rational surface
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NEF
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0.9059347
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0.90441054
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0.90187633
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0.8987903
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0.8986721
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0.8985927
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0.8972367
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