On Mukai's conjecture for hyperelliptic varieties
Algebraic Geometry
2025-09-22 v2 Commutative Algebra
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.
Cite
@article{arxiv.2509.06629,
title = {On Mukai's conjecture for hyperelliptic varieties},
author = {Federico Caucci},
journal= {arXiv preprint arXiv:2509.06629},
year = {2025}
}
Comments
20 pages, minor changes