The vanishing conjecture for homogeneous Hessian-nilpotent quartics
Let z=(z1,z2,…,zn)z=(z_1,z_2,\dots,z_n)z=(z1,z2,…,zn), let Di=∂∂ziD_i=\frac{\partial}{\partial z_i}Di=∂zi∂, and let Δn=∑i=1nDi2\Delta_n=\sum_{i=1}^n D_i^2Δn=∑i=1nDi2 be the Laplace operator on the polynomial algebra…