Deformation Theory and Torus-Fixed Geometry of the Nested Hilbert Scheme of Points

Chenyang Zhao

In this paper, we study the nested Hilbert scheme $({\mathbb{A}}^2{)}^{[n,n+1]}={\mathrm{Hilb}}^{n,n+1}({\mathbb{A}}^2)$ from a combination of deformation theory, torus actions, and Young…