Publikationsdetails

A bound for crystallographic arrangements

verfasst von
Michael Cuntz
Abstract

A crystallographic arrangement is a set of linear hyperplanes satisfying a certain integrality property and decomposing the space into simplicial cones. Crystallographic arrangements were completely classified in a series of papers by Heckenberger and the author. However, this classification is based on two computer proofs checking millions of cases. In the present paper, we prove without using a computer that, up to equivalence, there are only finitely many irreducible crystallographic arrangements in each rank greater than two.

Organisationseinheit(en)
Institut für Algebra, Zahlentheorie und Diskrete Mathematik
Typ
Artikel
Journal
Journal of algebra
Band
574
Seiten
50-69
Anzahl der Seiten
20
ISSN
0021-8693
Publikationsdatum
15.05.2021
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Algebra und Zahlentheorie
Elektronische Version(en)
https://arxiv.org/abs/1903.00300 (Zugang: Offen)
https://doi.org/10.1016/j.jalgebra.2021.01.028 (Zugang: Geschlossen)