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arXiv · 1905.11908

Big Vector Bundles on Surfaces and Fourfolds

Gilberto Bini·Flaminio Flamini
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Abstract

The aim of this note is to exhibit explicit sufficient criteria ensuring bigness of globally generated, rank-$r$ vector bundles, $r \geqslant 2$, on smooth, projective varieties of even dimension $d \leqslant 4$. 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.

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Gilberto Bini, Flaminio Flamini. 2019-05-28. Big Vector Bundles on Surfaces and Fourfolds. https://arxiv.org/abs/1905.11908

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