Cohomological rank functions and Syzygies of abelian varieties

2020/10/20 by Zhi Jiang, Jiang, Zhi · 1 citation
Mathematics · #14C20 #14K12 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14C20 #msc:14K12

paper · pdf · doi:10.48550/arxiv.2010.10053

arxiv created 2020/10/20 · arxiv updated 2020/10/21

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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• Kobayashi hyperbolicity of complete linear systems on abelian varieties

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