Positive vector bundles on complex surfaces (Q1062187)
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scientific article; zbMATH DE number 3912748
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive vector bundles on complex surfaces |
scientific article; zbMATH DE number 3912748 |
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Positive vector bundles on complex surfaces (English)
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1985
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A criterion for the positivity of a semi-stable rank 2 vector bundle on a projective surface is given. As application the following result is obtained. Let X be a complex projective surface. If \(c_ 1(X)^ 2-2c_ 2(X)>0\), \(c_ 2(X)>0\) and \(T^*\!_ X/C\) is positive for all integral curves \(C\subset X\), then \(T^*_ X\) is positive.
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Chern class
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positivity of a semi-stable rank 2 vector bundle
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