4 citations · 6 across the 10 of their papers we have counts for
13 papers
Stability conditions supported on Lefschetz classes
Franco Giovenzana, Antonios-Alexandros Robotis, Franco Rota +1
Recently, C. Li constructed stability conditions on the derived categories of all smooth complex projective varieties. These stability conditions satisfy the support property of Ko…
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…
Coble duality for Jacobian Kummer fourfolds
Daniele Agostini, Pietro Beri, Franco Giovenzana +1
We study projective models of generalized Kummer fourfolds via O'Grady's theta groups and the classical Coble cubic. More precisely, we establish a duality between two singular mod…
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…
O'Grady tenfolds as moduli spaces of sheaves
Camilla Felisetti, Franco Giovenzana, Annalisa Grossi
We give a lattice-theoretic characterization for a manifold of type to be birational to some moduli space of (twisted) sheaves on a K3 surface. We apply it to the L…
Kernels of categorical resolutions of nodal singularities
Warren Cattani, Franco Giovenzana, Shengxuan Liu +4
In this paper we study derived categories of nodal singularities. We show that for all nodal singularities there is a categorical resolution whose kernel is generated by a or $…
Hodge structure of O'Grady's singular moduli spaces
Valeria Bertini, Franco Giovenzana
We investigate the Hodge structure of the singular O'Grady's six and ten dimensional examples of irreducible symplectic varieties. In particular, we compute some of their Betti num…
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…
On the uniruled Voisin divisor on the LLSvS variety
Franco Giovenzana
Let be a smooth cubic fourfold, be its Fano variety of lines and be its associated LLSvS variety, parametrizing families of twisted cubics and some of their degeneratio…
On the period of Lehn, Lehn, Sorger, and van Straten's symplectic eightfold
Nicolas Addington, Franco Giovenzana
For the irreducible holomorphic symplectic eightfold Z associated to a cubic fourfold Y not containing a plane, we show that a natural Abel-Jacobi map from H^4_prim(Y) to H^2_prim(…