3 papers
math.AG2026
Picard bundles and the degree of irrationality of Jacobians and Pryms
Federico Moretti, Andrés Rojas
For a smooth projective curve of genus , we study some positivity properties of (twisted) rank- Picard bundles on the -fold symmetric product. As an application, we prove…
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.AG2025
An explicit class of Lagrangian surfaces
Paolo Grossi, Federico Moretti
We construct a family of general type surfaces with , and . These surfaces enjoy some interesting properties: they are Lagrangian in their Albanese variety and…