平面构形的Ф_3不变量分类  

Classification of plane arrangements by Ф_3 invariant

作　　者：张林[1] 郭玲[1] 孙雪梅[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）》2013年第5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(11071010)

摘　　要：对三维欧式空间中平面构形的Ф3不变量进行了研究。对空间中不多于5个平面的构形进行了Ф3分类,并研究构形与其所对应的一般位置截面图的Ф3的关系;同时利用一般位置截面图的Ф3计算了一些图形有规律的平面构形的Ф3值。The invariant φ3plane arrangements in the vector space of dimension three have been studied. Firstly, the plane arrangements whose cardinalities are not greater than five are classified by using invariant φ3 , and the re lationship to the corresponding general position section is studied. Secondly, the invariantφ3 of several special plane arrangements with regular patterns are computed.

关 键 词：超平面构形 Ф3不变量 平面构形 一般位置截面图 

分 类 号：O157[理学—数学]