Combinatorics of certain abelian Lie group arrangements and chromatic quasi-polynomials

Masahiko Yoshinaga; Tan Nhat Tran

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Combinatorics of certain abelian Lie group arrangements and chromatic quasi-polynomials

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arxiv 1805.03365 v1 pith:JH35G226 submitted 2018-05-09 math.CO math.GR

Combinatorics of certain abelian Lie group arrangements and chromatic quasi-polynomials

Tan Nhat Tran , Masahiko Yoshinaga This is my paper

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keywords arrangementsabeliancertainchromaticgroupquasi-polynomialstoriccharacteristic

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The purpose of this paper is twofold. Firstly, we generalize the notion of characteristic polynomials of hyperplane and toric arrangements to those of certain abelian Lie group arrangements. Secondly, we give two interpretations for the chromatic quasi-polynomials and their constituents through subspace and toric viewpoints.

Combinatorics of certain abelian Lie group arrangements and chromatic quasi-polynomials

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