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解析簇上非孤立奇点的C^0-R_V-V(f)-充分性

C^0-R_V-V(f)-sufficiency of Non-isolated Singularity on Analytic Varieties
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摘要 给出了某类解析簇上具有非孤立奇点的函数芽f在某种等价关系下的C^0-R_V-V(f)-充分性及它的某些形变平凡性的充分条件.它推广了具有非孤立奇点的函数芽的R-Z-充分性的一个判别准则. This paper provides some sufficient conditions for C^0-R_V-V(f)-sufficiency of a function germ f defined on an analytic variety V with non-isolated singularities and C^0-R_V-V(f)-triviality of some deformations of the function germ f under an equivalence.It is generalized that a criterion on the C^0-Z-sufficiency for function germs with non-isolated singularities.
作者 刘苏卉 苏丹 LIU Suhui;SU Dan(School of Mathematics and Physics,Wuhan Institute of Technology,Wuhan 430205,China;School of Statistics,University of International Business and Economics,Beijing 100029,China)
出处 《数学年刊(A辑)》 CSCD 北大核心 2020年第1期77-90,共14页 Chinese Annals of Mathematics
基金 国家自然科学基金青年项目(No.11501103)的资助.
关键词 非孤立奇点 C^0-R_V-V(f)-充分性 向量场 Non-isolated singularities C^1-R_V-V(f)-Sufficiency Vector field
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