A. Knutsen

collaborators

3 papers

math.AG2026

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

Ciro Ciliberto, Andreas Leopold Knutsen, Sara Torelli

Let $H_{g \to b, d; e}$ , with $e = (e_{1}, \dots, e_{n})$ , be the Hurwitz space, parametrizing all morphisms $I ¨ : C \to B$ of degree $d$ , with $n$ 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 $P^{1}$ 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 $K 3$ surfaces

Andreas Leopold Knutsen, Sara Torelli

Under the assumption that the adjusted Brill-Noether number $I ¨ $ is at least $- g$ , we prove that the Brill-Noether loci in $M_{g, n}$ of pointed curves carrying…

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

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

Brill-Noether loci of pencils with prescribed ramification on moduli of curves and on Severi varieties on K3 surfaces

Brill-Noether loci of pencils with prescribed ramification on moduli of curves and on Severi varieties on $K 3$ surfaces