53 citations · 120 across the 41 of their papers we have counts for
4 papers · 1 filter
The zeta functions of the Fano surfaces of cubic threefolds
Xavier Roulleau
We give an algorithm to compute the zeta function of the Fano surface of lines of a smooth cubic threefold into defined over a finite field. We obtain some examp…
Canonical surfaces with big cotangent bundle
Xavier Roulleau, Erwan Rousseau
Surfaces of general type with positive second Segre number are known to have big cotangent bundle. We give a new criterion ensuring that a surface of general type with canonical si…
On Schoen surfaces
Ciro Ciliberto, Margarida Mendes Lopes, Xavier Roulleau
We give a new construction of the irregular, generalized Lagrangian, surfaces of general type with p_g=5, χ=2, K^2=8, recently discovered by Chad Schoen. Our approach proves that,…
On the PSL(2,19)-invariant cubic sevenfold
Atanas Iliev, Xavier Roulleau
It has been proved by Adler that there exists a unique cubic hypersurface X in P^8 which is invariant under the action of the simple group PSL(2,19). In the present note we study t…