Rank-2 vector bundles with many sections and low \(c_ 2\) on a surface (Q1825919)
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scientific article; zbMATH DE number 4122113
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rank-2 vector bundles with many sections and low \(c_ 2\) on a surface |
scientific article; zbMATH DE number 4122113 |
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Rank-2 vector bundles with many sections and low \(c_ 2\) on a surface (English)
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1989
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Let V be a projective variety with \(\dim (V)=n\) and let E be a vector bundle over V with \(rk(E)=n\) and \(t=c_ n(E)>0\). The author defines a new interesting numerical invariant s(E) such that \(n\leq s(E)\leq nt\). Then he shows that the extreme cases \(s(E)=nt\) or \(s(E)=n\) occur only when the pair (V,E) has certain very special properties, i.e. in many such cases complete classification is possible.
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rank-2 vector bundles
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invariant of vector bundle
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