The motive of the Hilbert scheme of points in all dimensions

M Graffeo, S Monavari, R Moschetti… - arXiv preprint arXiv …, 2024 - arxiv.org
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 …