On singular Hilbert schemes of points: local structures and tautological sheaves

X Hu - arXiv preprint arXiv:2101.05236, 2021 - arxiv.org
We show an intrinsic version of Thomason's fixed point theorem. Then we determine the
local structure of the Hilbert scheme of $\leq 7$ points in $\mathbb {A}^ 3$. In particular, we …