The aim of this note is to exhibit explicit sufficient cohomological criteria ensuring bigness of globally generated, rank-r vector bundles, r at least 2, on smooth, projective varieties of even dimension d at most 4. We also discuss connections of our general criteria to some recent results of other authors, as well as applications to tangent bundles of Fano varieties, to suitable Lazarsfeld-Mukai bundles on four-folds, etcetera.
Flamini, F., Bini, G. (2019). Big vector bundles on surfaces and fourfolds. MEDITERRANEAN JOURNAL OF MATHEMATICS, 17(1) [10.1007/s00009-019-1463-2].
Big vector bundles on surfaces and fourfolds
Flamini F.Membro del Collaboration Group
;
2019-12-12
Abstract
The aim of this note is to exhibit explicit sufficient cohomological criteria ensuring bigness of globally generated, rank-r vector bundles, r at least 2, on smooth, projective varieties of even dimension d at most 4. We also discuss connections of our general criteria to some recent results of other authors, as well as applications to tangent bundles of Fano varieties, to suitable Lazarsfeld-Mukai bundles on four-folds, etcetera.File in questo prodotto:
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