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

Abstract

We investigate the existence of globally generated vector bundles of rank 2 with $c_1\le 3$ 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.

18 pages; section7 is added; Comments welcome

References in corpus (6)

• On globally generated vector bundles on projective spaces II
• Globally Generated Vector Bundles on P^n with c_1=3
• Globally Generated Vector Bundles on P^n with c_1=4
• Rank two globally generated vector bundles with c_1 \leq 5
• Chern classes of rank two globally generated vector bundles on P^2
• Even and odd instanton bundles on Fano threefolds of Picard number 1

Cited by in corpus (5)

• On globally generated vector bundles on projective spaces II
• Globally generated vector bundles on the Segre threefold with Picard number two
• Globally generated vector bundles on ${\mathbf{P}}^1\times {\mathbf{P}}^1\times {\mathbf{P}}^1$ with low first Chern classes
• Nef vector bundles on a quadric threefold with first Chern class two
• Globally generated vector bundles on a smooth quadric surface