Existence of rank 3 vector bundles with given chern classes on homogeneous rational 3-folds |
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Authors: | Constantin B?nic? Justin Coand? |
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Institution: | (1) Department of Mathematics, INCREST, Bd. P cii 220, 79622 Bucharest, Romania |
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Abstract: | One proves that any rank 3 topological vector bundle on a homogeneous rational 3-fold has an algebraic structure. The proof uses extensions of ideals by rank 2 vector bundles. The paper also contains a construction of rank 3 vector bundles on 3-folds using extensions of ideals by rank 2 reflexive sheaves. |
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