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One classifies the globally generated vector bundles on P^3 with the firstChern 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 (seethe References).

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