Cohomological rank functions and syzygies of projective bundles on abelian varieties

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 Np of projective bundles over abelian varieties.

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