8 citations · 50 across the 16 of their papers we have counts for
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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…
Computing the nonfree locus of the moduli space of arrangements and Terao's freeness conjecture
Mohamed Barakat, Lukas Kühne
In this paper, we show how to compute using Fitting ideals the nonfree locus of the moduli space of arrangements of a rank simple matroid, i.e., the subset of all points of the…
Likelihood Degenerations
Daniele Agostini, Taylor Brysiewicz, Claudia Fevola +3
Computing all critical points of a monomial on a very affine variety is a fundamental task in algebraic statistics, particle physics and other fields. The number of critical points…