2 citations · 2 across the 5 of their papers we have counts for
7 papers
Hyperelliptic curves on surfaces
Federico Moretti
We study hyperelliptic curves on surfaces. We show that any number of general points on a surface of Picard rank one can be connected by a hyperelliptic curve. As a by-pr…
Connecting families of curves
Nathan Chen, Robert Lazarsfeld, Federico Moretti
A theorem of Kollár, Miyaoka, and Mori states that on a rationally connected variety, any finite collection of points lies on a rational curve. Motivated by this, it is natural to…
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…
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…
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…
On the degree of irrationality of low genus surfaces
Federico Moretti, Andrés Rojas
Given a general polarized surface of genus , we study projections of minimal degree a…
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…