3 citations · 5 across the 8 of their papers we have counts for
8 papers
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 stabilises, when , to $[\mathrm{Gr}(d-1,\infty)]\cdot \s…
Components of the nested Hilbert scheme of few points
Michele Graffeo, Paolo Lella
We study the existence and the schematic structure of elementary components of the nested Hilbert scheme on a smooth quasi-projective variety. Precisely, we find a new lower bound…
New components of Hilbert schemes of points and 2-step ideals
Franco Giovenzana, Luca Giovenzana, Michele Graffeo +1
This paper presents new examples of elementary and non-elementary irreducible components of the Hilbert scheme of points and its nested variants. The results are achieved via a car…
Invariants of nested Hilbert and Quot schemes on surfaces
Nadir Fasola, Michele Graffeo, Danilo Lewański +1
Let be a smooth pointed surface. In the first part of this paper we study motivic invariants of punctual nested Hilbert schemes attached to using the Hilbert-Samuel…
Enumeration of partitions via socle reduction
Michele Graffeo, Sergej Monavari, Riccardo Moschetti +1
We study the enumeration problem of higher dimensional partitions, a natural generalisation of classical integer partitions. We show that their counting problem is equivalent to th…
The motive of the Hilbert scheme of points in all dimensions
Michele Graffeo, Sergej Monavari, Riccardo Moschetti +1
We prove a closed formula for the generating function of the motives of punctual Hilbert schem…
Unexpected but recurrent phenomena for Quot and Hilbert schemes of points
Franco Giovenzana, Luca Giovenzana, Michele Graffeo +1
We investigate some aspects of the geometry of two classical generalisations of the Hilbert schemes of points. Precisely, we show that parity conjecture for $\text{Quot}_r^d\mathbb…
The geometry of double nested Hilbert schemes of points on curves
Michele Graffeo, Paolo Lella, Sergej Monavari +2
Let be a smooth curve. In this paper we investigate the geometric properties of the double nested Hilbert scheme of points on , a moduli space introduced by the third author…