4 papers
Free line arrangements with low maximal multiplicity
Alexandru Dimca, Lukas Kühne, Piotr Pokora
Let $\A$ be a free arrangement of lines in the complex projective plane, with exponents . Let be the maximal multiplicity of points in $\A$. In this note, we d…
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…
Line arrangements with many triple points
Lukas Kühne, Tomasz Szemberg, Halszka Tutaj-Gasińska
In this paper, we construct an infinite series of line arrangements in characteristic two, each featuring only triple intersection points. This finding challenges the existing conj…
Projective dimension of weakly chordal graphic arrangements
Takuro Abe, Lukas Kühne, Paul Mücksch +1
A graphic arrangement is a subarrangement of the braid arrangement whose set of hyperplanes is determined by an undirected graph. A classical result due to Stanley, Edelman and Rei…