3 citations · 5 across the 7 of their papers we have counts for
8 papers
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…
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…
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…
A counterexample to the parity conjecture
Franco Giovenzana, Luca Giovenzana, Michele Graffeo +1
Let be a zero-dimensional subscheme of the affine three-dimensional complex space of length . Okounkov and Pandharipande have conjectured tha…
Symplectic rigidity of O'Grady's tenfolds
Luca Giovenzana, Annalisa Grossi, Claudio Onorati +1
We prove that any symplectic automorphism of finite order of an irreducible holomorphic symplectic manifold of O'Grady's 10-dimensional deformation type is trivial.
On the period of Li, Pertusi and Zhao's symplectic variety
Franco Giovenzana, Luca Giovenzana, Claudio Onorati
We extend classical results of Perego and Rapagnetta on moduli spaces of sheaves of type OG10 to moduli spaces of Bridgeland semistable objects on the Kuznetsov component of a cubi…
The perfect cone compactification of quotients of type IV domains
Luca Giovenzana
The perfect cone compactification is a toroidal compactification which can be defined for locally symmetric varieties. Let be the perfec…