Free arrangements and coefficients of characteristic polynomials

被引：19

作者：

Abe, Takuro ^{[1
]}

Yoshinaga, Masahiko ^{[2
]}

机构：

[1] Kyoto Univ, Dept Mech Engn & Sci, Sakyo Ku, Kyoto 6068501, Japan

[2] Hokkaido Univ, Dept Math, Kita Ku, Sapporo, Hokkaido 0600810, Japan

来源：

MATHEMATISCHE ZEITSCHRIFT | 2013年 / 275卷 / 3-4期

关键词：

Arrangements of hyperplanes; Free arrangements; Characteristic polynomials; Multirestrictions;

D O I：

10.1007/s00209-013-1165-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Ziegler showed that the multirestriction of a free arrangement is also free. After Ziegler's work, several results concerning the "reverse direction", i.e., characterizing freeness of an arrangement via that of its multirestriction, have appeared. In this paper, we prove a new characterization of freeness in which the second Betti number of the arrangement plays a crucial role.

引用

页码：911 / 919

页数：9

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