Andrea T. Ricolfi

activity

20152026

most citedHigher rank K-theoretic Donaldson-Thomas theory of points

22 citations · 123 across the 28 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.AG2019

On the motive of the Quot scheme of finite quotients of a locally free sheaf

Andrea T. Ricolfi

Let $X$ be a smooth variety, $E$ a locally free sheaf on $X$ . We express the generating function of the motives $[Quot_{X} (E, n)]$ in terms of the power structure on the Grot…

math.AG2019

Virtual classes and virtual motives of Quot schemes on threefolds

Andrea T. Ricolfi

For a simple, rigid vector bundle $F$ on a Calabi-Yau $3$ -fold $Y$ , we construct a symmetric obstruction theory on the Quot scheme $Quot_{Y} (F, n)$ , and we solve the associat…

math.AG2019★ 12 cited

The local motivic DT/PT correspondence

Ben Davison, Andrea T. Ricolfi

We show that the Quot scheme $Q_{L}^{n} = Quot_{A^{3}} (I_{L}, n)$ parameterising length $n$ quotients of the ideal sheaf of a line in $A^{3}$ is a global cr…