collaborators

5 papers

math.AG2026

Components of simple and non--simple type of Hurwitz schemes

Ciro Ciliberto, Andreas Leopold Knutsen, Sara Torelli

Let , with , be the Hurwitz space, parametrizing all morphisms of degree , with points $x_1,\…

math.AG2026

On the Hurwitz existence problem for branched covers of the projective line

Ciro Ciliberto, Andreas Leopold Knutsen, Sara Torelli

We give an alternative proof of the Hurwitz existence problem for branched covers of in the case where the number of ramification points equals the number of branch…

math.AG2026

Brill-Noether loci of pencils with prescribed ramification on moduli of curves and on Severi varieties on surfaces

Andreas Leopold Knutsen, Sara Torelli

Under the assumption that the adjusted Brill-Noether number is at least , we prove that the Brill-Noether loci in of pointed curves carrying…

math.AG2025

Correspondences acting on constant cycle curves on K3 surfaces

Sara Torelli

Constant cycle curves on a K3 surface over have been introduced by Huybrechts (2014) as curves whose points all define the same class in the Chow group. In this pa…

math.AG2025

General infinitesimal variations of Hodge structure of ample curves in surfaces

Víctor González-Alonso, Sara Torelli

Given a smooth projective complex curve inside a smooth projective surface, one can ask how its Hodge structure varies when the curve moves inside the surface. In this paper we dev…