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arXiv · 2509.06629

On Mukai's conjecture for hyperelliptic varieties

Federico Caucci
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Abstract

We prove some general results on syzygies of smooth projective varieties with numerically trivial canonical line bundle. This allows to confirm several cases of Mukai's syzygies conjecture for finite quotients of abelian varieties in any dimension, and in positive characteristic.

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Federico Caucci. 2025-09-08. On Mukai's conjecture for hyperelliptic varieties. https://arxiv.org/abs/2509.06629

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