2 problems

Let $\ell$ be a linear coordinate on $\mathbb C^1$, and consider a linear inclusion $\mathbb C^1\oplus\mathbb C^{m^2}\rightarrow\mathbb C^{n^2}$. Thus…

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…