2 problems

Factorization conjecture. If $\theta$ does not factor in this way, then $W(S_\theta^1)$ and $W(S_\theta^2)$ are open. If $\theta$ does factor in this way, then $W(S_\theta^1)$ and…

Let $\mathbb B_n$ be the unit ball in $\mathbb C^n$, let $\mathbb S_n$ be its boundary sphere, and let $\mathcal{Z}(p)$ denote the zero set of a polynomial $p$. A polynomial is cyc…