On globally generated vector bundles on projective spaces II

Abstract

Extending a previous result of the authors, we classify globally generated vector bundles on projective spaces with first Chern class equal to three.

To appear in J. Pure Appl. Algebra

References in corpus (3)

• Globally generated vector bundles of rank 2 on a smooth quadric threefold
• Chern classes of rank two globally generated vector bundles on P^2
• Globally Generated Vector Bundles on P^3 with c_1=3

Cited by in corpus (15)

• On the Singular Scheme of Split Foliations
• Globally Generated Vector Bundles on P^n with c_1=4
• Globally Generated Vector Bundles on P^n with c_1=3
• Rank two globally generated vector bundles with c_1 \leq 5
• Globally generated vector bundles of rank 2 on a smooth quadric threefold
• Globally generated vector bundles with $c_1=5$ on ${\mathbb{P}}^3$
• Classification of Mukai pairs with corank $3$
• Locally Cohen-Macaulay space curves defined by cubic equations and globally generated vector bundles
• Globally generated vector bundles on ${\mathbf{P}}^1\times {\mathbf{P}}^1\times {\mathbf{P}}^1$ with low first Chern classes
• Projections of Veronese surface and Morphisms from projective plane to Grassmannian
• Reflexive and spanned sheaves on ${\mathbb{P}}^3$
• Globally generated vector bundles with $c_1=5$ on ${\mathbb{P}}^n$, $n\ge 4$
• Vector spaces of skew-symmetric matrices of constant rank
• Globally generated vector bundles on a smooth quadric surface
• Linear spaces of matrices of constant rank and instanton bundles