Stability and cohomology of kernel bundles on projective space

2022/04/21 by İzzet Coşkun, Jack Huizenga, Coskun, Izzet +3 · 1 citation
Mathematics · #14F06 #14J60 #32L10 (Primary) 14D20 (Secondary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2204.10247

openalex publication_date 2022/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the cohomology of vector bundles on projective space defined as kernels or cokernels of general maps V₁ → V₂, where the V_i are direct sums of line bundles or certain exceptional bundles. We prove an asymptotic cohomology vanishing theorem. We characterize the stability of general Steiner bundles on projective space. We also give a criterion for a Steiner bundle to be ample.

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