Free Subarrangements of Shi Arrangements

被引：1

作者：

Wang, Zixuan ^{[1
]}

Jiang, Guangfeng ^{[1
]}

机构：

[1] Beijing Univ Chem Technol, Coll Math & Phys, Beijing 100029, Peoples R China

来源：

GRAPHS AND COMBINATORICS | 2022年 / 38卷 / 03期

关键词：

Hyperplane arrangement; Shi arrangement; Free arrangement; Supersolvable arrangement;

D O I：

10.1007/s00373-021-02399-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Athanasiadis characterized the freeness of the cones of the arrangements between braid arrangements and Shi arrangements. We are interested in the subarrangements Shi(G) of Shi arrangements associated with a graph G, which may not contain all hyperplanes of braid arrangements. We classify the cones of the arrangements Shi(G) which are free. In the meanwhile, we give the graphical interpretation of the exponents of free arrangements c(Shi(G)).

引用

页数：9

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