53 citations · 120 across the 41 of their papers we have counts for
46 papers · 1 filter
On a sequence of singular ball quotient surfaces on the line
Carlos Rito, Xavier Roulleau
Starting from computer experiments with the fundamental group of the Cartwright--Steger surface, we construct an infinite tower of normal projective surfaces obtai…
The cuspidal cubic and line arrangements with only triple points
Xavier Roulleau
We describe a new infinite family of line arrangements in the projective plane with only triple points singularities and recover previously known examples.
Modular curves as moduli spaces of point arrangements and applications
Lev Borisov, Xavier Roulleau
For a complex elliptic curve and a point of order on it, the images of the points under the Weierstrass embedding of into are coll…
Construction of free arrangements using point-line operators
Piotr Pokora, Xavier Roulleau
We construct new examples of free curve arrangements in the complex projective plane using point-line operators recently defined by the second author. In particular, we construct a…
Dynamical systems on some elliptic modular surfaces via operators on line arrangements
Lukas Kühne, Xavier Roulleau
This paper further studies the matroid realization space of a specific deformation of the regular -gon with its lines of symmetry. Recently, we obtained that these particular re…
Regular polygons, line operators, and elliptic modular surfaces as realization spaces of matroids
Lukas Kühne, Xavier Roulleau
For an integer , we investigate the matroid realization space of a specific deformation of the regular -gon along with its lines of symmetry. It turns out that this par…