Algebra and Geometry of Irreducible toric vector bundles of rank n on ℙⁿ

2023/08/17 by Courtney George, George, Courtney, Christopher Manon +1
Mathematics · #05E10 #13A50 #14M25 #14T05 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2308.09017

openalex publication_date 2023/08/17 · openalex created_date 2023/08/22 · openalex updated_date 2026/07/28

Abstract

We construct a presentation for the Cox ring of the projectivization ℙE of any rank n irreducible toric vector bundle on ℙⁿ. We use this presentation to show that ℙE always satisfies Fujita's freeness and ampleness conjectures.

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