1 citations · 2 across the 7 of their papers we have counts for
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Bounded negativity, Miyaoka-Sakai inequality and elliptic curve configurations
Xavier Roulleau
Similarly to the linear Harbourne constant recently defined, we study the elliptic -constants of and Abelian surfaces. We exhibit configurations of smooth plane…
On finiteness of curves with high canonical degree on a surface
Ciro Ciliberto, Xavier Roulleau
The \emph{canonical degree} of a curve on a surface is . Our main result, is that on a surface of general type there are only finitely many curves with negative…
Involutions of second kind on Shimura surfaces and surfaces of general type with
Amir Džambić, Xavier Roulleau
Quaternionic Shimura surfaces are quotient of the bidisc by an irreducible cocompact arithmetic group. In the present paper we are interested in (smooth) quaternionic Shimura surfa…
On the Tate conjecture for the Fano surfaces of cubic threefolds
Xavier Roulleau
A Fano surface of a smooth cubic threefold X in P^4 parametrizes the lines on X. In this note, we prove that a Fano surface satisfies the Tate conjecture over a field of finite typ…
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…