3 papers
math.AG2026
Curves on the product of two trivial surfaces
Federico Moretti, Giovanni Passeri
We study curves on the product of two -trivial surfaces. In the case of the product of two very general abelian surfaces , we prove that the minimal genus of a no…
math.AG2024
On the locus of curves mapping to a fixed target
Yeuk Hay Joshua Lam, Federico Moretti, Giovanni Passeri
Suppose is a smooth variety equipped with a top form. We prove a simple theorem giving a sharp lower bound on the geometric genus of a family of subvarieties of , in terms o…
math.AG2024
Stabilized measures of association: comparing the birational geometry of varieties having different dimensions
Giovanni Passeri
We extend some of the measures of association defined by Lazarsfeld and Martin, obtaining useful invariants to compare the birational geometry of two varieties having different dim…