2 problems

Let $N\geq 7$, let $\mathbb S_N^+$ be the Spinor variety, let $\sigma_2(\mathbb S_N^+)$ be its secant variety of lines, and let $\Sigma_{2,N}$ be the distance--$2$ orbit. The singu…

Let $S$ be the polynomial ring and let $I_R$ be the ideal associated with a classifying map $\alpha\in\operatorname{SpH}_k(S)$ as in Lemma. For a spinor set $J\cup J^c$, let…