MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Enumerating chambers of hyperplane arrangements with symmetry

Taylor Brysiewicz, Holger Eble and Lukas Kühne


We introduce a new algorithm for enumerating chambers of hyperplane arrangements which exploits their underlying symmetry groups. Our algorithm counts the chambers of an arrangement as a byproduct of computing its characteristic polynomial. We showcase our julia implementation, based on OSCAR, on examples coming from hyperplane arrangements with applications to physics and computer science.

MSC Codes:
52C35, 52B15
hyperplane arrangement, Chambers, Symmetry reduction

Related publications

2023 Journal Open Access
Taylor Brysiewicz, Holger Eble and Lukas Kühne

Computing characteristic polynomials of hyperplane arrangements with symmetries

In: Discrete and computational geometry, 70 (2023) 4, pp. 1356-1377