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Affine and toric 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 toric arrangements, we also generalize Zaslavsky's fundamental results on the number of regions.
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https://hal.inria.fr/hal-01185160
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Richard Ehrenborg, Margaret Readdy, Michael Slone. Affine and toric arrangements. 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008), 2008, Viña del Mar, Chile. pp.129-140. ⟨hal-01185160⟩

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