53 citations · 177 across the 48 of their papers we have counts for
59 papers
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,\l…
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…
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 p…
Distinguishing Brill-Noether loci
Asher Auel, Richard Haburcak, Andreas Leopold Knutsen
We construct curves carrying certain special linear series and not others, showing many non-containments between Brill-Noether loci in the moduli space of curves. In particular, we…
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.
(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…