2 problems

Let $F\in\mathbb C[x_0,\ldots,x_n]$ be a homogeneous polynomial, let $V(F)\subset\mathbb P^n$ be its zero locus, and let … be its polar transformation. Polar-degree conjecture. The…

Let $F\in\mathbb C[x_0,x_1,x_2]$ be a homogeneous polynomial, let $V(F)\subset\mathbb P^2$ be its zero locus, and let … be its polar transformation. A polynomial is homaloidal when…