2 problems

Let $\phi$ be any product of $d$ nonzero linear forms in ${\rm Sym}_1(\mathbb{R}^n)$. Every open neighborhood of $\phi$ in ${\rm Sym}_d(\mathbb{R}^n)$ contains a symmetric tensor…

Let ${\rm EC}_{2,d}$ be the eigenconfiguration associated with a general binary tensor of degree $d$, and let $e$ be the parameter appearing in the matrix description of this eigen…