Richard Ehrenborg ; Margaret Readdy ; Michael Slone - Affine and toric arrangements

dmtcs:3625 - Discrete Mathematics & Theoretical Computer Science, January 1, 2008, DMTCS Proceedings vol. AJ, 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008) - https://doi.org/10.46298/dmtcs.3625
Affine and toric arrangementsArticle

Authors: Richard Ehrenborg ORCID1; Margaret Readdy ORCID1; Michael Slone 1

  • 1 Department of Mathematics

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.

https://doi.org/10.46298/dmtcs.3625
Source: HAL:hal-01185160v1
Volume: DMTCS Proceedings vol. AJ, 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008)
Section: Proceedings
Published on: January 1, 2008
Imported on: May 10, 2017
Keywords: characteristic polynomial,coalgebra,toric arrangement,hyperplane arrangement,[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO],[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]

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