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.
Original language | English |
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Pages (from-to) | 481-512 |
Number of pages | 32 |
Journal | Discrete and Computational Geometry |
Volume | 41 |
Issue number | 4 |
DOIs | |
State | Published - Jun 2009 |
Keywords
- Flag enumeration
- Manifolds
- The cd-index
- The complex of unbounded regions
- The n-dimensional torus
- The toric Zaslavsky invariant
ASJC Scopus subject areas
- Theoretical Computer Science
- Geometry and Topology
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics