On arrangements of hyperplanes from connected subgraphs

verfasst von

Michael Cuntz, Lukas Kühne

Abstract

We investigate arrangements of hyperplanes whose normal vectors are given by connected subgraphs of a fixed graph. These include the resonance arrangement and certain ideal subarrangements of Weyl arrangements. We characterize those which are free, simplicial, factored, or supersolvable. In particular, such an arrangement is free if and only if the graph is a cycle, a path, an almost path, or a path with a triangle attached to it.

Organisationseinheit(en)

Institut für Algebra, Zahlentheorie und Diskrete Mathematik

Externe Organisation(en)

Universität Bielefeld

Typ

Preprint

Anzahl der Seiten

21

Publikationsdatum

19.08.2022

Publikationsstatus

Elektronisch veröffentlicht (E-Pub)

Elektronische Version(en)

https://arxiv.org/abs/2208.09251 (Zugang: Offen)