Alessandro Verra

collaborators

3 papers

math.AG2024

On the degree of a modular map

Ciro Ciliberto, Alessandro verra

Let $X$ be a general cubic hypersurface in $P^{4}$ . If $x \in X$ is a general point there are exactly six distinct lines in $X$ passing through $x$ , that lie on the rank 3 qua…

math.AG2023

(Uni)rational parametrizations of $R_{g, 2}$ , $R_{g, 4}$ and $R_{g, 6}$ 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

On deformations of the surfaces of bitangents to smooth quartic surfaces in $\mP^3$

Ciro Ciliberto, Alessandro Verra, Francesco Zucconi

We prove that the surface $S (X)$ of bitangent lines of a general smooth quartic surface $X$ in $\mP^3$ has unobstructed deformations of dimension $20 = h^{1} (S (X), T_{S (X)})$ . In addit…

On the degree of a modular map

(Uni)rational parametrizations of Rg,2​, Rg,4​ and Rg,6​ in low genera

On deformations of the surfaces of bitangents to smooth quartic surfaces in $\mP^3$

(Uni)rational parametrizations of $R_{g, 2}$ , $R_{g, 4}$ and $R_{g, 6}$ in low genera