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arxiv: 0708.3228 · v1 · submitted 2007-08-23 · 🧮 math.CO · math.AC

Coxeter multiarrangements with quasi-constant multiplicities

classification 🧮 math.CO math.AC
keywords coxeterquasi-constantderivationmultiarrangementsmultiplicitiesapplicationcharacteristiccombinatorially
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We study structures of derivation modules of Coxeter multiarrangements with quasi-constant multiplicities by using the primitive derivation. As an application, we show that the characteristic polynomial of a Coxeter multiarrangement with quasi-constant multiplicity is combinatorially computable.

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