Rank 2 ACM bundles on complete intersection Calabi-Yau threefolds

DOI10.1007/s10711-013-9945-zzbMath1304.14055arXiv1303.0867OpenAlexW1994860600MaRDI QIDQ476414

Matej Filip

Publication date: 1 December 2014

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.0867

zbMATH Keywords

arithmetically Cohen-Macaulay bundlescomplete intersection Calabi-Yau threefoldsSerre correspondence

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) (3)-folds (14J30) Complete intersections (14M10)

Related Items (3)

Homogeneous ACM bundles on isotropic Grassmannians ⋮ Rank two aCM bundles on the del Pezzo threefold of degree 7 ⋮ On rank two aCM bundles

Cites Work

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• Introduction to liaison theory and deficiency modules
• On hyperplane sections of reduced irreducible varieties of low codimension
• ACM bundles, quintic threefolds and counting problems
• Arithmetically Cohen-Macaulay bundles on hypersurfaces
• Rank 4 vector bundles on the quintic threefold
• On isolated smooth curves of low genera in Calabi-Yau complete intersection threefolds
• A standard basis approach to syzygies of canonical curves.
• Splitting criterion for reflexive sheaves
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• The Geometry of Syzygies
• Determinantal hypersurfaces.
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