On the prime ideals of higher secant varieties of Veronese embeddings of small degrees

Katsuhisa Furukawa, Kangjin Han

In this paper, we study minimal generators of the (saturated) defining ideal of the $k$-secant variety ${\sigma }_k(v_d({\mathbb{P}}^n))$ of the image of the $d$-uple Veronese embedding $v_d…