Cohomological rank functions and syzygies of projective bundles on abelian varieties

2023/03/28 by Minyoung Jeon, Sofia Tirabassi, Jeon, Minyoung +1
Mathematics · #13D02 #14C20 #14F17 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2303.16023

openalex publication_date 2023/03/28 · openalex created_date 2023/03/31 · openalex updated_date 2026/07/28

Abstract

We use Jiang--Pareschi's cohomological rank functions and techniques developed by Caucci and Ito to study syzygies of projective bundles on abelian varieties. Consequently, we generalize and refine Chiantipalli's results regarding property N_p of projective bundles over abelian varieties.

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