关于平面构形的特征多项式的研究  

The characteristic polynomials of a class of plane arrangements

作　　者：李玲[1] 姜广峰[1] 

机构地区：[1]北京化工大学理学院,北京100029

出　　处：《北京化工大学学报（自然科学版）》2009年第6期117-122,共6页Journal of Beijing University of Chemical Technology(Natural Science Edition)

基　　金：国家自然科学基金(10671009)

摘　　要：对三维欧氏空间中平面构形的特征多项式进行了研究。用代数与几何的方法,以特征多项式为不变量,把平面个数不多于5的构形进行了分类,同时计算了空间中一些图形有规律的非中心平面构形的特征多项式。The characteristic polynomials of plane arrangements in the vector space of dimension 3 have been studied. Firstly, the plane arrangements whose cardinalities are not greater than 5 are classified by using characteristic polynomials, and secondly, the characteristic polynomials of several hyperplane arrangements which are non-central in the vector space of dimension 3 are computed.

关 键 词：超平面构形 特征多项式 图构形 

分 类 号：O157[理学—数学]