Syzygies of Kummer varieties

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 $m>\frac{p+2}{2}$.

arXiv comment15 pages, final version. To appear in Trans. Amer. Math. Soc