Affine and toric hyperplane arrangements

Details Affine and toric hyperplane arrangements Affine and toric hyperplane arrangements

2008-10-01

arxiv.org/abs/0810.0295v1

Mathematics

Combinatorics

32 pages, 4 figures

Scientific paper

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.

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