Globally generated vector bundles on with

Abstract

One classifies the globally generated vector bundles on with the first Chern class c 1 = 3. The case c 1 = 1 is very easy, the case c 1 = 2 was done in [42], the case c 1 = 3, rank =2 was settled in [21] and the case c 1 ≤ 5, rank = 2 in [10]. Our work is based on Serre's theorem relating vector bundles of rank = 2 with codimension 2 lci subschemes and its generalization for higher ranks, considered firstly by Vogelaar in [48].