Cohomological Characterization of Vector Bundles on Grassmannians of Lines

2009/02/17 by Enrique Arrondo, Arrondo, Enrique, Francesco Malaspina +1 · 1 citation
Mathematics · #14F05 #14J60 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.0902.2897

openalex publication_date 2009/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce a notion of regularity for coherent sheaves on Grassmannians of lines. We use this notion to prove some extension of Evans-Griffith criterion to characterize direct sums of line bundles. We also give a cohomological characterization of exterior and symmetric powers of the universal bundles of the Grassmannian.

Cited by

• A Cohomological criterion for the splitting of vector bundles on ℙ^n₁×⋯×ℙ^n_s

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