2 problems

The strong full Perazzo conjecture. The Hilbert vector $H$ is strongly minimal in $\mathcal{AG}(r,d)$.

The full Perazzo conjecture. The Hilbert vector $H$ is minimal in $\mathcal{AG}(r,d)$; equivalently, if $\hat{H}\preceq H$ is a comparable Artinian Gorenstein Hilbert vector, then…