2 problems

Let $d\ge3$ and $n_1\ge n_2\ge\cdots\ge n_d\ge2$. Let $\mathcal S=\operatorname{Seg}(\mathbb P\mathbb C^{n_1}\times\cdots\times\mathbb P\mathbb C^{n_d})$ be the Segre variety in…

Let $d \ge 3$ and $n_1 \ge \cdots \ge n_d \ge 2$. Let $\mathcal{S}_{\mathbb{F}}=\operatorname{Seg}(\mathbb{P}\mathbb{F}^{n_1}\times\cdots\times\mathbb{P}\mathbb{F}^{n_d})$ be the S…