The motive of the Hilbert scheme of points in all dimensions

Michele Graffeo, Sergej Monavari, Riccardo Moschetti +1

We prove a closed formula for the generating function ${\mathsf{Z}}_d(t)$ of the motives $[{\mathrm{Hilb}}^d({\mathbb{A}}^n{)}_0]\in K_0({\mathrm{Var}}_{\mathbb{C}})$ of punctual Hilbert schem…