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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…
math.AG2025
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…