Federico Moretti

activity

20242026

collaborators

5 papers

math.AG2026

Picard bundles and the degree of irrationality of Jacobians and Pryms

Federico Moretti, AndrÃ©s Rojas

For a smooth projective curve of genus $g$ , we study some positivity properties of (twisted) rank- $g$ Picard bundles on the $g$ -fold symmetric product. As an application, we prove…

math.AG2026

Curves on the product of two $K -$ trivial surfaces

Federico Moretti, Giovanni Passeri

We study curves on the product of two $K$ -trivial surfaces. In the case of the product of two very general abelian surfaces $A_{1} \times A_{2}$ , we prove that the minimal genus of a no…

math.AG2025

An explicit class of Lagrangian surfaces

Paolo Grossi, Federico Moretti

We construct a family of general type surfaces with $q = 4$ , $p_{g} = 6$ and $K^{2} = 24$ . These surfaces enjoy some interesting properties: they are Lagrangian in their Albanese variety and…

math.AG2024

On the degree of irrationality of low genus $K 3$ surfaces

Given a general polarized $K 3$ surface $S \subset P^{g}$ of genus $g \leq 14$ , we study projections $S ↪ P^{g} ⇢ P^{2}$ of minimal degree a…

math.AG2024

On the locus of curves mapping to a fixed target

Yeuk Hay Joshua Lam, Federico Moretti, Giovanni Passeri

Suppose $Y$ 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 $Y$ , in terms o…

Picard bundles and the degree of irrationality of Jacobians and Pryms

Curves on the product of two K−trivial surfaces

An explicit class of Lagrangian surfaces

On the degree of irrationality of low genus K3 surfaces

On the locus of curves mapping to a fixed target

Curves on the product of two $K -$ trivial surfaces

On the degree of irrationality of low genus $K 3$ surfaces