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Globally generated vector bundles on with
Authors:Cristian Anghel  Nicolae Manolache
Affiliation:1. +40 21 319 65 06+40 21 319 65 05;2. Institute of Mathematics, Romanian Academy, , P. O. Box 1‐764, RO‐014700 Bucharest, Romania
Abstract:One classifies the globally generated vector bundles on urn:x-wiley:0025584X:mana201200211:equation:mana201200211-math-0005 with the first Chern class c1 = 3. The case c1 = 1 is very easy, the case c1 = 2 was done in [42], the case c1 = 3, rank =2 was settled in [21] and the case c1 ≤ 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].
Keywords:Projective space  vector bundle  globally generated sheaf  Primary: 14J60  Secondary: 14H50, 14N25
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