Kangjin Han

collaborators

2 papers

math.AG2025

On the singular loci of higher secant varieties of Veronese embeddings

Katsuhisa Furukawa, Kangjin Han

The $k$ -th secant variety of a projective variety $X \subset P^{N}$ , denoted by $I ¨ _{k} (X)$ , is defined to be the closure of the union of $(k - 1)$ -planes spanned by $k$ points…

math.AG2024

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 $I ¨ _{k} (v_{d} (P^{n}))$ in $P^{N}$ with $N = (d n + d) - 1$ , the $k$ -secant variety of…