2 problems

Let $n\geq 2$. For a homogeneous polynomial $f\in\mathbb{C}[x_0,\dots,x_n]_d$, let $E(f)$ denote its eigenscheme. Consider a set…

Divisibility conjecture. Restricted to the $3$-planes coming from eigenschemes, the eigendiscriminant divides the Hurwitz form.