Big Vector Bundles on Surfaces and Fourfolds
Abstract
The aim of this note is to exhibit explicit sufficient criteria ensuring bigness of globally generated, rank- vector bundles, , on smooth, projective varieties of even dimension . 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.
Cite
@article{arxiv.1905.11908,
title = {Big Vector Bundles on Surfaces and Fourfolds},
author = {Gilberto Bini and Flaminio Flamini},
journal= {arXiv preprint arXiv:1905.11908},
year = {2019}
}
Comments
14 pages; to appear in Mediterranean Journal of Mathematics; research started during visit at Lab. Math. Appl--U. Poitiers and supported by the Res. Proj. "Families of curves"(CUP: E81-18000100005) - Univ. Rome Tor Vergata. Thanks to the anonymous referee for carefully reading the manuscript and for valuable remarks inspiring examples in this new version