2 problems

Let $h(\mathrm{perm}_n)$ and $h(\mathrm{det}_n)$ denote the homological complexities associated with the $n\times n$ permanent and determinant, respectively, and let $\mathcal{VP}$…

Let $\mathit{Det}_n$ be the closure of the $\operatorname{GL}_{n^2}(\mathbb{C})$-orbit of the determinant polynomial under linear substitution. Let $S^o(\mathit{Det}_n)$ be the sem…