activity
19942026
most citedThe geometry of the moduli space of odd spin curves

13 citations · 63 across the 33 of their papers we have counts for

collaborators

44 papers

math.AG2026

On Fano varieties of index one that are linear sections of Grassmannians of lines

Michele Bolognesi, Ciro Ciliberto, Alessandro Verra

In this paper we consider the general dimensional linear section of the Grassmannian of lines in , that is a Fano variety of index 1. We fi…

math.AG2026

The unirationality of and moduli spaces of pointed spin curves

Gavril Farkas, Alessandro Verra

We show that the moduli space of odd spin curves of genus 9 is unirational. This is the highest genus for which such a result is known. This is achieved by realizing birationally t…

math.AG2026

Rational elliptic surfaces with six singular double fibres

Ciro Ciliberto, Antonella Grassi, Rick Miranda +2

A rational elliptic surface with section is a smooth, rational, complex, projective surface that admits a relatively minimal fibration $f: \mathcal{X}\longrightarrow…

math.AG2024

On the degree of a modular map

Ciro Ciliberto, Alessandro verra

Let be a general cubic hypersurface in . If is a general point there are exactly six distinct lines in passing through , that lie on the rank 3 qua…

math.AG2024

On the variety of tritangential planes to a general K3 surface of degree 6 and genus 4 in $\mP^4$

Ciro Ciliberto, Alessandro Verra

Let $S\subset \mP^4$ be a general K3 surface of degree 6 and genus 4. In this paper we study the irreducible variety of \emph{tritangential planes} to whose general point…

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…