Some effects of Veronese map on syzygies of projective varieties

Euisung Park

Let $X\subset {\P }^r$ be a nondegenerate projective variety and let ${\nu }_{\ell }:{\P }^r\to {\P }^N$ be the $\ell$-th Veronese embedding. In this paper we study the higher normality, definin…