Nef vector bundles on a projective space with first Chern class three

Abstract

We classify nef vector bundles on a projective space with first Chern class three over an algebraically closed field of characteristic zero; we see, in particular, that these nef vector bundles are globally generated if the second Chern class is less than eight, and that there exist nef but non-globally generated vector bundles with second Chern class eight and nine on a projective plane.

v.7 Errors in v.6 and 5 are corrected. v.5 Major revision: the restriction on the second Chern class of the previous versions is removed and the title is changed