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Bundles over the Fano Threefold V 5 |
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| Abstract: | ABSTRACT Using an explicit resolution of the diagonal for the variety V 5, we provide cohomological characterizations of the universal and quotient bundles. A splitting criterion for bundles over V 5 is also proved. The presentation of semistable aCM bundles is shown, together with a resolution–theoretic classification of low rank aCM bundles. |
| Keywords: | aCM sheaves Cohomological characterization of bundles Fano threefold V 5 Quasi-homogeneous varieties Resolution of the diagonal Splitting criteria Vanishing intermediate cohomology |