53 citations · 120 across the 41 of their papers we have counts for
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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…
On some operators acting on line arrangements and their dynamics
Xavier Roulleau
We study some natural operators acting on configurations of points and lines in the plane and remark that many interesting configurations are fixed points for these operators. We r…
On the dynamics of the line operator on some arrangements of six lines
Xavier Roulleau
The operator acting on line arrangements is defined by associating to a line arrangement \mathcal{A}, the line arrangement which is the union of the lines contain…
On projective K3 surfaces with
Adrian Clingher, Andreas Malmendier, Xavier Roulleau
We prove that every K3 surface with automorphism group admits an explicit birational model as a double sextic surface. This model is canonical for Pica…