Globally Generated Vector Bundles on P^3 with c_1=3

TL;DR

This paper classifies globally generated vector bundles on projective 3-space with first Chern class 3, extending previous classifications for lower Chern classes and specific ranks.

Contribution

It provides a comprehensive classification of globally generated vector bundles on P^3 with c_1=3, filling a gap in the existing literature.

Findings

Complete classification of bundles with c_1=3 on P^3

Extension of previous results for c_1=2 and rank=2 cases

New examples and structure results for these bundles

Abstract

One classifies the globally generated vector bundles on P^3 with the first Chern class c_1=3. The case c_1=2 on P^n was done by J.C. Sierra and L. Ugaglia (see the References) and the case c_1=3, rank=2 on P^n was done by S. Huh (see the References).