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

Abstract

One classifies the globally generated vector bundles on P^n (n \not = 3) with the first Chern class c_1 = 3. The case n = 3 is treated in arXiv:1202.5988 [math.AG]. The case c_1 = 2 was treated by J.C. Sierra and L. Ugaglia (see References), the case c_1 = 3, rank = 2 is settled by S. Huh (see References), the case rank = 2, c_1 \le 5 is studied by L. Chiodera and Ph. Ellia (see References).

13 pages

References in corpus (4)

• Sheaf Cohomology and Free Resolutions over Exterior Algebras
• On globally generated vector bundles on projective spaces II
• Rank two globally generated vector bundles with c_1 \leq 5
• Chern classes of rank two globally generated vector bundles on P^2

Cited by in corpus (10)

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• Locally Cohen-Macaulay space curves defined by cubic equations and globally generated vector bundles
• Four generated 4-instantons
• Globally generated vector bundles on the Segre threefold with Picard number two
• On the vector bundles from Chang and Ran's proof of the unirationality of ${\mathcal{M}}_g$, $g\le 13$
• Globally generated vector bundles on ${\mathbf{P}}^1\times {\mathbf{P}}^1\times {\mathbf{P}}^1$ with low first Chern classes
• Reflexive and spanned sheaves on ${\mathbb{P}}^3$
• Globally generated vector bundles on a smooth quadric surface
• Globally generated vector bundles with $c_1=5$ on ${\mathbb{P}}^n$, $n\ge 4$