3 papers
math.AG2024
Pencils on general covers of an elliptic curve
Andreas Leopold Knutsen, Margherita Lelli-Chiesa
We completely describe the Brill-Noether theory of pencils on general primitive covers of elliptic curves of any degree.
math.AG2023
(Uni)rational parametrizations of , and in low genera
Margherita Lelli-Chiesa, Andreas Leopold Knutsen, Alessandro Verra
The moduli space R_{g,2n} parametrizes double covers of smooth curves of genus g ramified at 2n points. We will prove the (uni)rationality of R_{g,2}, R_{g,4} and R_{g,6} in low ge…
math.AG2023
Double covers of curves on Nikulin surfaces
Simona D'Evangelista, Margherita Lelli-Chiesa
We survey basic results concerning Prym varieties, the Prym-Brill-Noether theory initiated by Welters, and Brill-Noether theory of general étale double covers of curves of genus g>…