The smooth monomial-Hessian conjecture
Let S=C[x1,…,xn]S=\mathbb C[x_1,\ldots,x_n]S=C[x1,…,xn] and let g∈Sg\in Sg∈S be homogeneous of degree d≥3d\geq 3d≥3, with n≥2n\geq 2n≥2. Assume that its Hessian H(g)H(g)H(g) is a monomial. Smooth monomial-Hessian conject…