On globally generated vector bundles on projective spaces. II.

DOI10.1016/j.jpaa.2013.05.003zbMath1457.14095arXiv1203.0185OpenAlexW2073535681MaRDI QIDQ392394

José Carlos Sierra, Luca Ugaglia

Publication date: 14 January 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.0185

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items (14)

On jumping lines of vector bundles on \(\mathbb {P}^n\) ⋮ Globally generated vector bundles of rank 2 on a smooth quadric threefold ⋮ Classification of Mukai pairs with corank $3$ ⋮ Globally generated vector bundles with small c₁ on projective spaces, II ⋮ Matrices of linear forms of constant rank from vector bundles on projective spaces ⋮ Globally generated vector bundles on \(\mathbb{P}^1 \times \mathbb{P}^1 \times \mathbb{P}^1\) with low first Chern classes ⋮ Reflexive and spanned sheaves on \(\mathbb P^3\) ⋮ Geometry of the Sasakura bundle ⋮ Globally Generated Vector Bundles with Small 𝑐_{\tiny}1 on Projective Spaces ⋮ Globally generated vector bundles on the Segre threefold with Picard number two ⋮ On Higher Rank Globally Generated Vector Bundles over a Smooth Quadric Threefold ⋮ Nef vector bundles on a projective space with first Chern class three ⋮ Globally generated vector bundles on a smooth quadric surface ⋮ Globally generated vector bundles on Pn with c1=3

Cites Work

• Globally generated vector bundles of rank 2 on a smooth quadric threefold
• Reflexive and spanned sheaves on \(\mathbb P^3\)
• On globally generated vector bundles on projective spaces
• Vector bundles on complex projective spaces
• Vector spaces of skew-symmetric matrices of constant rank
• On linear spaces of skew-symmetric matrices of constant rank
• On Higher Rank Globally Generated Vector Bundles over a Smooth Quadric Threefold
• Globally generated vector bundles on Pn with c1=3
• On triple Veronese embeddings of \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbb {P}^n$\end{document} in the Grassmannians
• Some vanishing for the cohomology of stable rank two vector bundles on P3.
• Rank two globally generated vector bundles with c_1 \leq 5

This page was built for publication: On globally generated vector bundles on projective spaces. II.