2 problems

Let $V\subset \mathbb{P}^{n}$ be a projective hypersurface with isolated singularities. A hypersurface is homaloidal when its gradient map is birational, equivalently when its pola…

Let $f$ be a Newton non-degenerate homogeneous polynomial of degree $d\geq 3$ defining a homaloidal hypersurface. Let $D_0,\dots,D_n$ be the polytopes associated with $f$ in Propos…