余秩为2余维为7的光滑函数芽的分类  

Classification of Germs of Smooth Functions with Corank 2 and Codimension 7

作　　者：郭瑞芝[1] 石高丽 GUO Rui-zhi SHI Gao-li(College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, China)

机构地区：[1]湖南师范大学数学与计算机科学学院,中国长沙410081

出　　处：《湖南师范大学自然科学学报》2017年第2期66-75,共10页Journal of Natural Science of Hunan Normal University

基　　金：国家自然科学基金资助项目(10971060)

摘　　要：本文利用有限决定性理论、分裂引理和Nakayama引理,建立光滑函数芽Jacobi理想的下降序列,考虑Jacobi理想的余维分布,得到了右等价下余秩为2余维为7的光滑函数芽的完整分类,并且给出了这类函数芽的标准形.By using of the theory of finite determinacy, splitting lemma and Nakayama lemma, in this paper, we have established a decreasing sequence with Jacobi ideal of a germ of smooth functions. We have also examined the distribution of codimension of the Jacobi ideal. The classification of germs of smooth functions with corank 2 and codimension 7 under the condition of right equivalence has been obtained, with normal forms of this germs explicitly given.

关 键 词：右等价 余维 余秩 分类 

分 类 号：O192[理学—数学]