Coxeter multiarrangements with quasi-constant multiplicities

被引：8

作者：

Abe, Takuro ^{[1
]}

Yoshinaga, Masahiko ^{[1
]}

机构：

[1] Kyoto Univ, Dept Math, Sakyo Ku, Kyoto 6068502, Japan

来源：

JOURNAL OF ALGEBRA | 2009年 / 322卷 / 08期

关键词：

Hyperplane arrangements; Logarithmic vector fields; Coxeter arrangements; CONTACT-ORDER FILTRATION; FREE ARRANGEMENT; DERIVATIONS;

D O I：

10.1016/j.jalgebra.2009.07.025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：2839 / 2847

页数：9

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