Syzygies of Kummer varieties

2023/03/27 by Caucci, Federico · 2 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2303.15392

Abstract

We study syzygies of Kummer varieties proving that their behavior is half of the abelian varieties case. Namely, an m-th power of an ample line bundle on a Kummer variety satisfies the Green-Lazarsfeld property (N_p), if m > (p+2)/(2).

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• Hyperbolicity of adjoint linear series on varieties with positive tangent bundle
• On Mukai's conjecture for hyperelliptic varieties

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