Affine and toric hyperplane arrangements
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2008
- DOI:
- 10.48550/arXiv.0810.0295
- arXiv:
- arXiv:0810.0295
- Bibcode:
- 2008arXiv0810.0295E
- Keywords:
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- Mathematics - Combinatorics;
- 52C35;
- 05E99
- E-Print:
- 32 pages, 4 figures