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)