Globally generated vector bundles on [formula omitted] with low first Chern classes.

We classify globally generated vector bundles on P 1 × P 1 × P 1 with small first Chern class, i.e. c 1 = ( a 1 , a 2 , a 3 ) , a i ≤ 2 . Our main method is to investigate the associated smooth curves to globally generated vector bundles via the Hartshorne–Serre correspondence. [ABSTRACT FROM AUTHOR]