Separating Cones defined by Toric Varieties: Some Properties and Open Problems

Charu Goel, Sarah Hess, Salma Kuhlmann

In 1888, Hilbert proved that the cone ${\mathcal{P}}_{n+1,2d}$ of positive semidefinite forms in $n+1$ variables of degree $2d$ coincides with its subcone $\hat{I}{\pounds }_{n+1,2d}$ of those form…