English

Syzygies of Kummer varieties

Algebraic Geometry 2023-09-06 v2

Abstract

We study syzygies of Kummer varieties proving that their behavior is half of the abelian varieties case. Namely, an mm-th power of an ample line bundle on a Kummer variety satisfies the Green-Lazarsfeld property (Np)(N_p), if m>p+22m > \frac{p+2}{2}.

Keywords

Cite

@article{arxiv.2303.15392,
  title  = {Syzygies of Kummer varieties},
  author = {Federico Caucci},
  journal= {arXiv preprint arXiv:2303.15392},
  year   = {2023}
}

Comments

15 pages, final version. To appear in Trans. Amer. Math. Soc