Rank two aCM bundles on the del Pezzo threefold with Picard number 3

DOI10.1016/j.jalgebra.2015.02.008zbMath1330.14072arXiv1306.6008OpenAlexW2964081785MaRDI QIDQ2341318

Gianfranco Casnati, Daniele Faenzi, Francesco Malaspina

Publication date: 24 April 2015

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.6008

zbMATH Keywords

Fano varietyACM vector bundleDel Pezzo threefoldUlrich bundle

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Fano varieties (14J45)

Related Items (13)

Rank two ACM bundles on the double embedding of a quadric surface ⋮ Stable Ulrich bundles on Fano threefolds with Picard number 2 ⋮ Rank two aCM bundles on the del Pezzo fourfold of degree 6 and its general hyperplane section ⋮ Homogeneous ACM bundles on isotropic Grassmannians ⋮ Moduli spaces of rank two ACM bundles on the Segre product of three projective lines ⋮ Globally generated vector bundles on \(\mathbb{P}^1 \times \mathbb{P}^1 \times \mathbb{P}^1\) with low first Chern classes ⋮ Examples of surfaces which are Ulrich–wild ⋮ RANK TWO STABLE ULRICH BUNDLES ON ANTICANONICALLY EMBEDDED SURFACES ⋮ Rank two aCM bundles on the del Pezzo threefold of degree 7 ⋮ Globally generated vector bundles on the Segre threefold with Picard number two ⋮ On rank two aCM bundles ⋮ Instanton bundles on the blowup of the projective 3-space at a point ⋮ Instanton sheaves on projective schemes

Uses Software

• CoCoA

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The geometry of Ulrich bundles on del Pezzo surfaces
• Regularity and cohomological splitting conditions for vector bundles on multiprojective spaces
• The representation type of Segre varieties
• Moduli spaces of rank-2 ACM bundles on prime Fano threefolds
• Moduli spaces of rank two ACM bundles on the Segre product of three projective lines
• Gorenstein rings and modules with high numbers of generators
• Vector bundles on complex projective spaces
• Vector bundles on \(G(1,4)\) without intermediate cohomology
• On the genus and Hartshorne-Rao module of projective curves
• ACM bundles on general hypersurfaces in \(\mathbb P^5\) of low degree
• Cohen-Macaulay modules on hypersurface singularities. I
• Cohomological characterization of vector bundles on Grassmannians of lines
• Vector bundles with no intermediate cohomology on Fano threefolds of type \(V_{22}\)
• ACM bundles on cubic surfaces
• Even and odd instanton bundles on Fano threefolds of Picard number one
• Arithmetically Cohen-Macaulay bundles on hypersurfaces
• A home-made Hartshorne-Serre correspondence
• Rank 4 vector bundles on the quintic threefold
• Some extensions of Horrocks criterion to vector bundles on Grassmannians and quadrics
• STABLE ULRICH BUNDLES
• Rank 2 arithmetically Cohen-Macaulay bundles on a general quintic surface
• Varieties of small codimension in projective space
• Vector bundles on fano 3-folds without intermediate cohomology
• Ribbons and Their Canonical Embeddings
• Resultants and Chow forms via exterior syzygies
• A SPLITTING CRITERION FOR RANK 2 BUNDLES ON A GENERAL SEXTIC THREEFOLD
• On rank two aCM bundles
• Some Applications of Beilinson's Theorem to Projective Spaces and Quadrics
• Arithmetically Cohen-Macaulay Bundles on Three Dimensisonal Hypersurfaces
• Lectures on Curves on an Algebraic Surface. (AM-59)
• Bundles over the Fano Threefold V ₅
• Rank-two vector bundles on general quartic hypersurfaces in \(\mathbb{P}^4\)

This page was built for publication: Rank two aCM bundles on the del Pezzo threefold with Picard number 3