3 problems

Let $k$ be an algebraically closed field of characteristic $0$, let $\mathbb W$ be a finite set of distinct points in $\mathbb P^n$, and let $\alpha(\mathbb Y)$ denote the least de…

Refined Chudnovsky question. For every $r>0$,

Let $K$ be an algebraically closed field, let $I$ be the radical ideal of a finite set of points in $\mathbb{P}^{N}$, and let $\alpha(I)$ denote the least degree of a nonzero form…