Cohomological characterization of Universal Bundles of G(1,n)

2024/09/27 by Enrique Arrondo, Arrondo, Enrique, Alicia Tocino +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.2409.18623

openalex publication_date 2024/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We characterize directs sums of twists of symmetric powers of the universal quotient bundle over the Grassmannian of lines. We use a method that could be used for analogue results on any arbitrary variety, and that should give stronger results than using the standard technique of Beilinson's spectral sequence.

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• Cohomological Characterization of Vector Bundles on Grassmannians of Lines
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