Affine and toric arrangements

Affine and toric arrangements

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.

Bibliographic Details
Main Authors: Richard Ehrenborg, Margaret Readdy, Michael Slone
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2008-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
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]
Online Access:https://dmtcs.episciences.org/3625/pdf

Internet

https://dmtcs.episciences.org/3625/pdf

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