Cohomological rank functions and Syzygies of abelian varieties
Zhi Jiang
TL;DR
This paper investigates the syzygies of abelian varieties using cohomological rank functions, providing evidence supporting a conjecture by Ito and Lozovanu.
Contribution
It introduces new methods based on cohomological rank functions to analyze syzygies of abelian varieties and offers supporting evidence for a key conjecture.
Findings
Evidence supporting Ito and Lozovanu's conjecture
New computational techniques for cohomological rank functions
Enhanced understanding of syzygies in 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.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Combinatorial Mathematics · Advanced Differential Equations and Dynamical Systems