Globally generated vector bundles of rank 2 on a smooth quadric   threefold
  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. 
Edoardo Ballico, Sukmoon Huh and Francesco Malaspina
math.AG