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math.AG2024★ 1 cited
On the numerical Terao's conjecture and Ziegler pairs for line arrangements
Lukas Kühne, Dante Luber, Piotr Pokora
In this paper we present a smallest possible counterexample to the Numerical Terao's Conjecture in the class of line arrangements in the complex projective plane. Our example consi…
math.AG2023
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…