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.