No abstract

Abstract. One classifies the globally generated vector bundles on P n whith the first Chern class c 1 = 3 (in this paper n = 3, the case n = 3 being studied in [18]). The case c 1 = 1 is very easy, the case c 1 = 2 was done in [28], the case c 1 = 3, rank= 2 was settled in [13] and the case c 1 ≤ 5, rank=2 in [6]. 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 [33].

No abstract

We provide a complete classification of globally generated vector bundles with first Chern class c 1 ≤ 5 one the projective plane and with c 1 ≤ 4 on the projective n-space for n ≥ 3. This reproves and extends, in a systematic manner, previous results obtained for c 1

One classifies the globally generated vector bundles on P n whith the first Chern class c 1 = 3 (in this paper n = 3, the case n = 3 being studied in [18]). The case c 1 = 1 is very easy, the case c 1 = 2 was done in [28], the case c 1 = 3, rank= 2 was settled in [13] and the case c 1 ≤ 5, rank=2 in [6]. 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 [33].