2 problems

Let $V$) be a finite-dimensional vector space, and let $\Upsilon^{i,d-i}$ denote the corresponding catalecticant map; write $\operatorname{Minors}_r(\Upsilon^{i,d-i})$ for the idea…

Let $n\ge3$, $d\ge2$, and define … Let $Z$ be a set of $s$ general points in $\mathbb{P}^{n-1}$, where $N_{d-1}\le s<N_d$, and let $I=I(Z)$ be its vanishing ideal. Write…