2 citations · 2 across the 8 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…