| 平行自由构形 |
| |
| 引用本文： | 孟男,裴东河.平行自由构形[J].松辽学刊,2008,29(3):92-93. |
| |
| 作者姓名： | 孟男 裴东河 |
| |
| 作者单位： | 东北师范大学数学与统计学院,吉林长春130024 |
| |
| 基金项目： | 国家自然科学基金，教育部新世纪杰出人才资助项目 |
| |
| 摘 要： | 自由构形是超平面构形中一类重要的构形．本文将自由构形进行了推广，用平行的超平面组代替自由构形中的单个超平面，进而得到了一类新的超平面构形．平行自由构形，并运用Whitney定理求出了其特征多项式及区域个数，推广了n维向量空间中自由构形的相关结论．
|
| 关 键 词： | 超平面构形 自由构形 平行自由构形 |
Parallel Free Arrangements |
| |
| MENG Nan,PEI Dong-he.Parallel Free Arrangements[J].Songliao Journal (Natural Science Edition),2008,29(3):92-93. |
| |
| Authors: | MENG Nan PEI Dong-he |
| |
| Institution: | (School of mathematics and statistics, Northeast Normal University, Changchun 130024, China) |
| |
| Abstract: | Free arrangement is a very important kind of hyperplane arrangement. In this paper,we define a new kind of hyperplane arrangement, using parallel hyperplane groups instead of single＇ s hyperplane of free arrangement. And we extract the characteristic polynomial and the number of the areas of this new kind of hyperplane arrangements in n-dimensional vector space using the Whitney theorem, which popularize the related conclusion of the n free arrangements in n-dimensional vector space. |
| |
| Keywords: | hyperplane arrangement free arrangements species free arrangement |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
