C. Ciliberto

collaborators

17 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

Contact Invariants for Plane Curves in a Pencil

Ciro Ciliberto, Rick Miranda, Joaquim Roe

Let $\calP$ be a general pencil of curves of degree $d$ in the projective plane. In this paper we review the computation of the number of curves in $\calP$ that have a hyperflex li…

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

A remark on isolated complex hypersurface singularities

Fabrizio Catanese, Ciro Ciliberto, Concettina Galati

This is now an expository note about the following classical problem. Let $(X, 0)$ be the germ of a hypersurface in $(C^{n}, 0)$ with an ordinary singularity of multip…

math.AG2026

Constructions for rational multiple planes

Ciro Ciliberto, Rick Miranda

A finite, normal cover $f: X\longrightarrow \bbP^2$ of degree $m \geq 3$ (the case $m = 2$ is well known and we do not consider it in this paper) is called \emph{simple}, if there is…

math.AG2026

2--elementary rational covers of the plane

Ciro Ciliberto

In this paper I classify, up to Cremona transformations, the Galois cover of the plane with Galois group of the form $Z_{2}^{r}$ .