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    • 刘苏卉,苏丹.解析簇上非孤立奇点的C0-R_V-V(f) -充分性[J].数学年刊A辑,2020,41(1):077~90
    解析簇上非孤立奇点的C0-R_V-V(f) -充分性
    C0-R_V-V(f) -sufficiency of Non-isolated Singularity on Analytic Varieties
    Received:January 16, 2018  
    DOI：10.16205/j.cnki.cama.2020.0006
    中文关键词:  Non-isolated singularities, $C^{1}mbox{-}mathcal{R}_{V}mbox{-}mathcal{V}(f)mbox{-}$Sufficiency, Vector field
    英文关键词:Non-isolated singularities, $C^{1}mbox{-}mathcal{R}_{V}mbox{-}mathcal{V}(f)mbox{-}$Sufficiency, Vector field
    基金项目:本文受到国家自然科学基金青年项目(No.11501103)的资助.
    Author NameAffiliationE-mail
    LIU Suhui School of Mathematics and Physics, Wuhan Institute of Technology, Wuhan 430205, China. 1712080@wit.edu.cn 
    SU Dan School of Statistics, University of International Business and Economics, Beijing 100029, China. sudan@uibe.edu.cn 
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    中文摘要:
          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 $C^{0}\mbox{-}\mathcal{R}_{V}\mbox{-}\mathcal{V}(f)\mbox{-}$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$\mathcal{R}\mbox{-}Z\mbox{-}$充分性的一个判别准则.
    英文摘要:
          This paper provides some sufficient conditions for $C^{0}\mbox{-}\mathcal{R}_{V}\mbox{-}\mathcal{V}(f)\mbox{-}$sufficiency of a function germ $f$ defined on an analytic variety $V$ with non-isolated singularities and $C^{0}\mbox{-}\mathcal{R}_{V}\mbox{-}\mathcal{V}(f)\mbox{-}$triviality of some deformations of the function germ $f$ under an equivalence. It is generalized that a criterion on the $C^{0}\mbox{-}Z\mbox{-}$sufficiency for function germs with non-isolated singularities.
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