On higher rank globally generated vector bundles over a smooth quadric threefold (Q2806118)
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scientific article; zbMATH DE number 6580764
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On higher rank globally generated vector bundles over a smooth quadric threefold |
scientific article; zbMATH DE number 6580764 |
Statements
13 May 2016
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smooth quadric threefold, vector bundle
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globally generated vector bundle
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On higher rank globally generated vector bundles over a smooth quadric threefold (English)
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The author classifies the globally generated vector bundles of rank \(3\) on a smooth quadric threefold \(Q\), with the first Chern class \(c_1=1\) or \(c_1=2\). The result is used to determine the numerical characters \((c_1,c_2,c_3,r)\) for which indecomposable, globally generated vector bundles \(E\) on \(Q\) with \(c_i(E)=c_i\) and \(\mathrm{rank } E=r\), \(c_1\leq 2\), do exist.
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