On the Smith normal form of the Varchenko matrix

被引：1

作者：

Cai, Tommy Wuxing ^{[1
]}

Chen, Yue ^{[2
]}

Mu, Lili ^{[3
]}

机构：

[1] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada

[2] South China Univ Technol, Sch Sci, Guangzhou 510640, Peoples R China

[3] Liaoning Normal Univ, Sch Math, Dalian 116029, Peoples R China

来源：

ARS MATHEMATICA CONTEMPORANEA | 2020年 / 19卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Hyperplane arrangement; Smith normal form; Varchenko matrix; BILINEAR FORM;

D O I：

10.26493/1855-3974.2262.9b8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A be a hyperplane arrangement in A isomorphic to R-n. Let V-q be the q-Varchenko matrix for the arrangement A with all hyperplane parameters equal to q. In this paper, we consider three interesting cases of q-Varchenko matrices associated to hyperplane arrangements. We show that they have a Smith normal form over Z[q].

引用

页码：351 / 362

页数：12

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