Michele Graffeo

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math.AG2026

Motivic and cohomological stabilisation of the Quot scheme of points

Michele Graffeo, Sergej Monavari, Riccardo Moschetti +1

We prove that the motive of the punctual Quot scheme $Quot^{d} (O_{A^{n}}^{\oplus r})_{0}$ stabilises, when $n \to \infty$ , to $[\mathrm{Gr}(d-1,\infty)]\cdot \s…

math.AG2026

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…

math.AG2025

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…