Motivic and cohomological stabilisation of the Quot scheme of points

Michele Graffeo, Alexis Aumonier, Sergej Monavari +2

We prove that the motive of the punctual Quot scheme ${\mathrm{Quot}}^d({\mathcal{O}}_{{\mathbb{A}}^n}^{\oplus r}{)}_0$ stabilises, when $n\to \infty$, to $[\mathrm{Gr}(d-1,\infty)]\cdot \s…