4 papers
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…
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…
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…
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…