Affine and toric hyperplane arrangements
Combinatorics
2022-10-07 v1
Abstract
We extend the Billera-Ehrenborg-Readdy map between the intersection lattice and face lattice of a central hyperplane arrangement to affine and toric hyperplane arrangements. For arrangements on the torus, we also generalize Zaslavsky's fundamental results on the number of regions.
Cite
@article{arxiv.0810.0295,
title = {Affine and toric hyperplane arrangements},
author = {Richard Ehrenborg and Margaret Readdy and MLE Slone},
journal= {arXiv preprint arXiv:0810.0295},
year = {2022}
}
Comments
32 pages, 4 figures