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On moduli of vector bundles on rational surfaces - MaRDI portal

On moduli of vector bundles on rational surfaces (Q1087598)

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scientific article; zbMATH DE number 3987434
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English
On moduli of vector bundles on rational surfaces
scientific article; zbMATH DE number 3987434

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    On moduli of vector bundles on rational surfaces (English)
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    1987
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    Here the following theorem is proved: For every smooth, rational, projective surface (over \({\mathbb{C}})\) and ''many'' ample line bundles H and every \(r,c_ 1,c_ 2\), the moduli scheme \(M_ H(r,c_ 1,c_ 2)\) of rank-r H-stable vector bundles on S with Chern classes \(c_ i\) is irreducible and unirational (or empty).
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    rational surfaces
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    moduli scheme
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    Chern classes
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