| K等价下相对映射芽的通用形变 |
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| 引用本文： | 孙伟志,高峰,裴东河. K等价下相对映射芽的通用形变[J]. 数学杂志, 2007, 27(4): 441-446 |
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| 作者姓名： | 孙伟志 高峰 裴东河 |
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| 作者单位： | 1. 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
2. 东北师范大学数学与统计学院,吉林长春,130024 |
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| 摘 要： | 本文研究了K等价下相对映射芽的通用形变问题.利用经典奇点理论中的通用形变理论的方法,获得了K等价意义下相对映射芽的通用形变的判别法及相关性质.并且可以研究相对映射芽的稳定性.
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| 关 键 词： | 奇点 相对映射 通用形变 |
| 文章编号： | 0255-7797（2007）04-0441-06 |
| 修稿时间： | 2004-09-152006-07-13 |
VERSAL DEFORMATIONS OF RELATIVE MAP GERMS WITH K EQUIVALENCE |
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| SUN Weizhi,GAO Feng,PEI Donghe. VERSAL DEFORMATIONS OF RELATIVE MAP GERMS WITH K EQUIVALENCE[J]. Journal of Mathematics, 2007, 27(4): 441-446 |
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| Authors: | SUN Weizhi GAO Feng PEI Donghe |
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| Affiliation: | 1. School of Math. , Jilin Normal University, Siping 136000, China;2. School of Math. and Statistics, Northeast Normal University, Changchun 130024, China;3. School of Science, Changchun University of Science and Technology, Changchun 130022, China |
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| Abstract: | The aim of this paper is to discuss the versal deformations of relative map germs with K equivalence.We study the relative map germs by methods of versal deformation of classic singularity theory and get a method of deciding relative K-versal deformations and some relative propositions.Making use of these results,we can study the stability of relative map germs. |
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| Keywords: | singular point relative map versal deformation |
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