Cohomological rank functions and Syzygies of abelian varieties

Abstract

We study syzygies of abelian varieties via the methods of Caucci and Ito based on computations of cohomological rank functions. We provide some strong evidences to a conjecture of Ito and Lozovanu.

References in corpus (1)

• Strong generic vanishing and a higher dimensional Castelnuovo-de Franchis inequality

Cited by in corpus (3)

• Chern degree functions
• Higher syzygies on general polarized abelian varieties of type $(1,\dots ,1,d)$
• M-regularity of $\mathbb{Q}$-twisted sheaves and its application to linear systems on abelian varieties