Affine and toric arrangements

Richard Ehrenborg; Margaret Readdy; Michael Slone

Affine and toric arrangements

Richard Ehrenborg, Margaret Readdy, Michael Slone

Mathematics

Research output: Contribution to conference › Paper › peer-review

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.

Original language	English
Pages	129-140
Number of pages	12
State	Published - 2008
Event	20th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'08 - Valparaiso, Chile Duration: Jun 23 2008 → Jun 27 2008

Conference

Conference	20th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'08
Country/Territory	Chile
City	Valparaiso
Period	6/23/08 → 6/27/08

Keywords

Characteristic polynomial
Coalgebra
Hyperplane arrangement
Toric arrangement

ASJC Scopus subject areas

Algebra and Number Theory

Cite this

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title = "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.",

keywords = "Characteristic polynomial, Coalgebra, Hyperplane arrangement, Toric arrangement",

author = "Richard Ehrenborg and Margaret Readdy and Michael Slone",

year = "2008",

language = "English",

pages = "129--140",

note = "20th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'08 ; Conference date: 23-06-2008 Through 27-06-2008",

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T1 - Affine and toric arrangements

AU - Ehrenborg, Richard

AU - Readdy, Margaret

AU - Slone, Michael

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

KW - Characteristic polynomial

KW - Coalgebra

KW - Hyperplane arrangement

KW - Toric arrangement

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M3 - Paper

AN - SCOPUS:84860471645

SP - 129

EP - 140

T2 - 20th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'08

Y2 - 23 June 2008 through 27 June 2008

ER -

Affine and toric arrangements

Abstract

Conference

Keywords

ASJC Scopus subject areas

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Cite this