| 关于函数芽的相对通用形变与通用形变 |
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| 引用本文： | 刘海明,孙伟志,苗佳晶. 关于函数芽的相对通用形变与通用形变[J]. 东北师大学报(自然科学版), 2009, 41(2) |
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| 作者姓名： | 刘海明 孙伟志 苗佳晶 |
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| 作者单位： | 1. 牡丹江师范学院数学系,黑龙江,牡丹江,157012
2. 吉林师范大学数学学院,吉林,四平,136000;长春理工大学理学院,吉林,长春,130022 |
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| 基金项目： | 国家自然科学基金,牡丹江师范学院青年教师项目 |
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| 摘 要： | 用奇点理论的方法对函数芽的相对通用形变进行了研究,定义了函数芽的相对余维数和相对通用形变,给出了相对函数芽的相对通用形变定理及相对通用形变与通用形变之间的关系,并给出一个具体的例子.
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| 关 键 词： | 相对通用形变 通用形变 ORS等价 |
On relative universal deformation and universal deformation of function germs |
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| LIU Hai-ming,SUN Wei-zhi,MIAO Jia-jing. On relative universal deformation and universal deformation of function germs[J]. Journal of Northeast Normal University (Natural Science Edition), 2009, 41(2) |
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| Authors: | LIU Hai-ming SUN Wei-zhi MIAO Jia-jing |
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| Affiliation: | LIU Hai-ming1,SUN Wei-zhi2,3,MIAO Jia-jing1(1.Department of Mathematics,Mudanjiang Teachers College,Mudanjiang 157012,China,2.School of Mathematies,Jilin Normal University,Siping 136000,3.School of Science,Changchun University of Science and Technology,Changchun 130022,China) |
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| Abstract: | The relative universal deformation is studied by the methods in singularity theory.The definition of relative codimension and relative universal deformation of function germs are given in this paper.This paper discussed relative,universal deformation theory and discussed the relation between universal deformation and relative universal deformation,at last gave an example. |
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| Keywords: | relative universal deformation universal deformation Rs-equivalent |
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