53 citations · 120 across the 41 of their papers we have counts for
5 papers · 1 filter
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 the cohomology of Stover Surface
Amir Džambić, Xavier Roulleau
We study a surface discovered by Stover which is the surface with minimal Euler number and maximal automorphism group among smooth arithmetic ball quotient surfaces. We study the n…
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…
Chern slopes of simply connected complex surfaces of general type are dense in [2,3]
Xavier Roulleau, Giancarlo Urzúa
We prove that for any number in , there are spin (resp. non-spin minimal) simply connected complex surfaces of general type with arbitrarily close…