Punctual Quot schemes and Cohen--Lenstra series of the cusp singularity

Yifeng Huang, Ruofan Jiang

The Quot scheme of points ${\mathrm{Quot}}_{d,n}(X)$ on a variety $X$ over a field $k$ parametrizes quotient sheaves of ${\mathcal{O}}_X^{\oplus d}$ of zero-dimensional support and len…