3 papers
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
Non-existence of Enriques manifolds from OG10 type manifolds
Simone Billi, Franco Giovenzana, Luca Giovenzana +1
We use the LLV algebra to describe the action of a finite order automorphism on the total cohomology of a manifold of OG10 type. As an application, we prove that no Enriques manifo…
math.AG2024
Lines, Twisted Cubics on Cubic Fourfolds, and the Monodromy of the Voisin Map
Franco Giovenzana, Luca Giovenzana
For a general cubic fourfold with associated Fano variety of lines , we show that the monodromy group of the finite degree 16 rational Voisin self-map $ψ\colon F \dashrigh…