摘要
设Sk表示广义Shi构形的锥构形。已有文献证明了Sk的导子模的单根基的存在性,并给出了B_Γ^+和B_Γ^-的自由性的判断,它们分别是Sk添加和去掉若干单根定义的反射超平面形成的构形,称B_Γ^+和B_Γ^-为变形广义Shi构形。借助正单根基和负单根基,利用Saito准则明确构造出B_Γ^+和B_Γ^-的导子模的基底,并计算了它们的指数。
The cone of an extended Shi arrangement is used S^k to denote. The existence of the simple-root bases of the derivation modules for Skand the freeness of B_Γ^+and B_Γ^-are proved. They are formed by adding and deleting some reflection hyperplanes of Sk,which are corresponding to simple roots. B_Γ^+and B_Γ^-are called the deformations of extended Shi arrangements. According to Saito’s criterion,the explicit constructions of the bases of the derivation modules are given for B_Γ^+and B_Γ^-,and the exponents of them are calculated.
作者
高瑞梅
高嘉英
初颖
GAO Rui-mei;GAO Jia-ying;CHU Ying(School of Science,Changchun University of Science and Technology,Changchun 130022,Jilin,China;School of Computer Science and Technology,Changchun University of Science and Technology,Changchun 130022,Jilin,China)
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2019年第2期66-70,共5页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(11501051)
吉林省科技发展计划项目优秀青年人才基金项目(20180520025JH)
关键词
Shi构形
单根基
自由构形
导子模
Shi arrangement
simple-root basis
free arrangement
derivation module
