Globally generated vector bundles on P¹ × P¹ × P¹ with low first Chern classes

2015/02/22 by Edoardo Ballico, Ballico, Edoardo, Sukmoon Huh +3
Mathematics · #14H50 #14J60 #14M07 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1502.06181

openalex publication_date 2015/02/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify globally generated vector bundles on P¹ × P¹ × P¹ with small first Chern class, i.e. c₁= (a₁, a₂, a₃), a_i ≤ 2. Our main method is to investigate the associated smooth curves to globally generated vector bundles via the Hartshorne-Serre correspondence.

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