On arrangements of hyperplanes from connected subgraphs

Cuntz M, Kühne L (Submitted)
arXiv: 2208.09251.

Preprint | Eingereicht | Englisch
 
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Autor*in
Cuntz, Michael; Kühne, LukasUniBi
Abstract / Bemerkung
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.
Erscheinungsjahr
2022
Zeitschriftentitel
arXiv: 2208.09251
Page URI
https://pub.uni-bielefeld.de/record/2982638

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Cuntz M, Kühne L. On arrangements of hyperplanes from connected subgraphs. arXiv: 2208.09251. Submitted.
Cuntz, M., & Kühne, L. (Submitted). On arrangements of hyperplanes from connected subgraphs. arXiv: 2208.09251. https://doi.org/10.48550/ARXIV.2208.09251
Cuntz, Michael, and Kühne, Lukas. Submitted. “On arrangements of hyperplanes from connected subgraphs”. arXiv: 2208.09251.
Cuntz, M., and Kühne, L. (Submitted). On arrangements of hyperplanes from connected subgraphs. arXiv: 2208.09251.
Cuntz, M., & Kühne, L., Submitted. On arrangements of hyperplanes from connected subgraphs. arXiv: 2208.09251.
M. Cuntz and L. Kühne, “On arrangements of hyperplanes from connected subgraphs”, arXiv: 2208.09251, Submitted.
Cuntz, M., Kühne, L.: On arrangements of hyperplanes from connected subgraphs. arXiv: 2208.09251. (Submitted).
Cuntz, Michael, and Kühne, Lukas. “On arrangements of hyperplanes from connected subgraphs”. arXiv: 2208.09251 (Submitted).
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