arXiv Analytics

Sign in

arXiv:1211.1100 [math.AG]AbstractReferencesReviewsResources

Globally generated vector bundles of rank 2 on a smooth quadric threefold

Edoardo Ballico, Sukmoon Huh, Francesco Malaspina

Published 2012-11-06, updated 2013-06-04Version 2

We investigate the existence of globally generated vector bundles of rank 2 with $c_1\leq 3$ on a smooth quadric threefold and determine their Chern classes. As an automatic consequence, every rank 2 globally generated vector bundle on $Q$ with $c_1=3$ is an odd instanton up to twist.

Comments: 18 pages; section7 is added; Comments welcome
Categories: math.AG
Subjects: 14F99, 14J99
Related articles: Most relevant | Search more
arXiv:1111.5718 [math.AG] (Published 2011-11-24, updated 2012-11-25)
Chern classes of rank two globally generated vector bundles on P^2
arXiv:1211.2593 [math.AG] (Published 2012-11-12, updated 2012-12-13)
On higher rank globally generated vector bundles over a smooth quadric threefold
arXiv:1909.07415 [math.AG] (Published 2019-09-16)
Chern Classes via Derived Determinant

Links

Toolbox