We give the classification of globally generated vector bundles of rank 2 on a smooth quadric surface with c 1 ⩻ (2, 2) in terms of the indices of the bundles, and extend the result to arbitrary higher rank case. We also investigate their indecomposability and give the sufficient and necessary condition on numeric data of vector bundles for indecomposability.
Globally generated vector bundles on a smooth quadric surface / Ballico, Edoardo; Huh, Sukmoon; Malaspina, Francesco. - In: SCIENCE CHINA. MATHEMATICS. - ISSN 1674-7283. - STAMPA. - 58:3(2015), pp. 633-652. [10.1007/s11425-014-4963-3]
Globally generated vector bundles on a smooth quadric surface
Ballico, Edoardo;
2015-01-01
Abstract
We give the classification of globally generated vector bundles of rank 2 on a smooth quadric surface with c 1 ⩻ (2, 2) in terms of the indices of the bundles, and extend the result to arbitrary higher rank case. We also investigate their indecomposability and give the sufficient and necessary condition on numeric data of vector bundles for indecomposability.File in questo prodotto:
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