Cohomological characterization of universal bundles of \(\mathbb{G}(1, n)\)

DOI10.1016/j.jalgebra.2019.08.025zbMath1427.15029OpenAlexW2971875983MaRDI QIDQ2330437

Alicia Tocino, Enrique Arrondo

Publication date: 22 October 2019

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2019.08.025

zbMATH Keywords

cohomologyGrassmannianSchur functorSerre dualityuniversal bundlesEagon-Northcott complexes

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Vector and tensor algebra, theory of invariants (15A72) Grassmannians, Schubert varieties, flag manifolds (14M15) Topology of vector bundles and fiber bundles (57R22) Multilinear algebra, tensor calculus (15A69) Exterior algebra, Grassmann algebras (15A75)

Cites Work

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• On the derived categories of coherent sheaves on some homogeneous spaces
• Coherent sheaves on \({\mathbb{P}}^n\) and problems of linear algebra
• Vector bundles on \(G(1,4)\) without intermediate cohomology
• Cohomological characterization of vector bundles on Grassmannians of lines
• Cohomological characterization of vector bundles on multiprojective spaces
• Some extensions of Horrocks criterion to vector bundles on Grassmannians and quadrics
• Minimal Lefschetz decompositions of the derived categories for Grassmannians
• Exceptional collections for Grassmannians of isotropic lines
• Some Applications of Beilinson's Theorem to Projective Spaces and Quadrics
• Vector Bundles on the Punctured Spectrum of a Local Ring
• m-Blocks Collections and Castelnuovo-mumford Regularity in multiprojective spaces

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