On Mukai's conjecture for hyperelliptic varieties

Fuente: arXiv
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Main Author: Caucci, Federico
Format: Preprint
Published: 2025
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author Caucci, Federico
author_facet Caucci, Federico
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2509_06629
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On Mukai's conjecture for hyperelliptic varieties
Caucci, Federico
Algebraic Geometry
Commutative Algebra
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.
title On Mukai's conjecture for hyperelliptic varieties
topic Algebraic Geometry
Commutative Algebra
url https://arxiv.org/abs/2509.06629