6 papers · 1 filter
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…
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…
Varieties of Nodal surfaces, coding theory and Discriminants of cubic hypersurfaces. Part 1: Generalities and nodal K3 surfaces. Part 2: Cubic Hypersurfaces, associated discriminants. Part 3: Nodal quintics. Part 4: Nodal sextics
Fabrizio Catanese, in collaboration with Yonghwa Cho, Stephen Coughlan +4
We attach two binary codes to a projective nodal surface (the strict code K and, for even degree d, the extended code K' ) to investigate the `Nodal Severi varieties F(d, n) of nod…
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…
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…
The uniruledness of the Prym moduli space of genus 9
Gavril Farkas, Alessandro Verra
We show that the moduli space R_9 of Prym curves of genus 9 is uniruled. This is the largest genus g for which R_g has negative Kodaira dimension.