A cohomological splitting criterion for rank 2 vector bundles on Hirzebruch surfaces

2014/12/04 by Kazunori Yasutake, Yasutake, Kazunori
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1412.1584

openalex publication_date 2014/12/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this note, we give a cohomological characterization of all rank 2 split vector bundles on Hirzebruch surfaces.

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