3 papers
math.AG2026
The moduli space of genus Fano -folds with two -points: rationality and K-stability
Joseph Malbon, Alex Massarenti, Francesco Zucconi
Let be the moduli space of genus Fano -folds with two terminal quotient singularities of type . We prove that $\mathca…
math.AG2025
On supported deformations and birational isotriviality
Luca Rizzi, Francesco Zucconi
It is well known that the general fibers of a fibration are isomorphic if the general Kodaira-Spencer class vanishes. In this paper we consider the birational anal…
math.AG2025
Curvature and relative volume forms
Luca Rizzi, Francesco Zucconi
Using metric techniques introduced by Berndtsson, we show a result on constancy of families dominated by a constant variety and, on the opposite side, a result on the strong non is…