A proof of the Briançon-Iarrobino Conjecture in three dimensions

Owen Mackenzie, Fatemeh Rezaee

We resolve the 1978 Briançon-Iarrobino Conjecture regarding the maximum singularity of $\mathcal{H}={\mathrm{Hilb}}^l({\mathbb{A}}^3)$, where $l$ is a tetrahedral number, by refining…