Affine and toric arrangements

Richard Ehrenborg; Margaret Readdy; Michael Slone

Affine and toric arrangements

Mathematics

Producción científica: Paper › revisión exhaustiva

Resumen

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.

Idioma original	English
Páginas	129-140
Número de páginas	12
Estado	Published - 2008
Evento	20th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'08 - Valparaiso, Chile Duración: jun 23 2008 → jun 27 2008

Conference

Conference	20th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'08
País/Territorio	Chile
Ciudad	Valparaiso
Período	6/23/08 → 6/27/08

ASJC Scopus subject areas

Algebra and Number Theory

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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.",

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

year = "2008",

language = "English",

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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

UR - https://www.scopus.com/pages/publications/84860471645

UR - https://www.scopus.com/pages/publications/84860471645#tab=citedBy

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

Resumen

Conference

ASJC Scopus subject areas

Otros archivos y enlaces

Huella

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