Globally generated vector bundles on a smooth quadric surface

DOI10.1007/s11425-014-4963-3zbMath1314.14086arXiv1312.2472OpenAlexW1997628839MaRDI QIDQ2341356

Sukmoon Huh, Francesco Malaspina, Edoardo Ballico

Publication date: 24 April 2015

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.2472

zbMATH Keywords

smooth quadric surfaceglobally generated vector bundleshigher rank vector bundles

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60)

Related Items (3)

Quadric surfaces in the Pfaffian hypersurface in ℙ¹⁴ ⋮ Globally generated vector bundles on \(\mathbb{P}^1 \times \mathbb{P}^1 \times \mathbb{P}^1\) with low first Chern classes ⋮ Nef vector bundles on a quadric surface with the first Chern class \((2, 1)\)

Cites Work

• Unnamed Item
• Unnamed Item
• Chern classes of rank two globally generated vector bundles on \(\mathbb P^2\)
• On globally generated vector bundles on projective spaces. II.
• Globally generated vector bundles of rank 2 on a smooth quadric threefold
• Regularity and cohomological splitting conditions for vector bundles on multiprojective spaces
• Moduli of stable sheaves on a smooth quadric and a Brill-Noether locus
• A degree bound for globally generated vector bundles
• On globally generated vector bundles on projective spaces
• Residues and zero-cycles on algebraic varieties
• The Lüroth semigroup of plane algebraic curves
• Horrocks correspondence on a quadric surface
• On Higher Rank Globally Generated Vector Bundles over a Smooth Quadric Threefold
• Globally generated vector bundles on Pn with c1=3
• RANK 2 VECTOR BUNDLES OVER A COMPLEX QUADRIC SURFACE
• Some Applications of Beilinson's Theorem to Projective Spaces and Quadrics

This page was built for publication: Globally generated vector bundles on a smooth quadric surface