Stillman's question for twisted commutative algebras

Karthik Ganapathy

Let ${\mathbf{A}}_{n,m}$ be the polynomial ring $\text{Sym}({\mathbf{C}}^n\otimes {\mathbf{C}}^m)$ with the natural action of ${\mathbf{GL}}_m(\mathbf{C})$. We construct a family of $\ma…