53 citations · 120 across the 41 of their papers we have counts for
4 papers · 1 filter
Genus 2 curve configurations on Fano surfaces
Xavier Roulleau
We study the configurations of genus 2 curves on the Fano surfaces of cubic threefolds. We establish a link between some involutive automorphisms acting on such a surface S and gen…
Fano surfaces with 12 or 30 elliptic curves
Xavier Roulleau
Curves of low genus on a surface carry important informations on that surface. We study the Fano surfaces of lines of cubic threefolds that contain 12 or 30 elliptic curves. We det…
The Fano surface of the Klein cubic threefold
Xavier Roulleau
We prove that the Klein cubic threefold is the only smooth cubic threefold which has an automorphism of order 11. We compute the period lattice of the intermediate Jacobian of…
The Fano surface of the Fermat cubic threefold, the del Pezzo surface of degree 5 and a ball quotient
Xavier Roulleau
We study the Fano surface S of the Fermat cubic threefold. We prove that S is a degree 81 abelian cover of the degree 5 del Pezzo surface and that the complement of the union of 12…