Dept. Math, Hokkaido Univ. EPrints Server

Coxeter multiarrangements with quasi-constant multiplicities

Preprint Series # 873
Abe, Takuro and Yoshinaga, Masahiko Coxeter multiarrangements with quasi-constant multiplicities. (2007);

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Abstract

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.

Item Type:Preprint
Additional Information:31
Uncontrolled Keywords:Coxeter arrangement, free arrangement, primitive derivation
Subjects:52-xx CONVEX AND DISCRETE GEOMETRY
ID Code:1770