Publication details
A bound for crystallographic arrangements
- authored by
- 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.
- Organisation(s)
-
Institute of Algebra, Number Theory and Discrete Mathematics
- Type
- Article
- Journal
- Journal of algebra
- Volume
- 574
- Pages
- 50-69
- No. of pages
- 20
- ISSN
- 0021-8693
- Publication date
- 15.05.2021
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Algebra and Number Theory
- Electronic version(s)
-
https://arxiv.org/abs/1903.00300 (Access:
Open)
https://doi.org/10.1016/j.jalgebra.2021.01.028 (Access: Closed)