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Publikationsdetails

Publikationsdetails

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)