Equinormalizable theory for plane curve singularities with embedded\n points and the theory of equisingularity

2010/11/30 by Công Trình Lê, Lê, Công-Trình
Engineering · Mathematics · #14B05 #14B07 #14B12 #14H20 #14H50 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1011.6614

openalex publication_date 2010/11/30 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

In this paper we give some criteria for a family of generically reduced plane\ncurve singularities to be equinormalizable. The first criterion is based on the\n\δ-invariant of a (non-reduced) curve singularity which is introduced by\nBr "ucker-Greuel ( citeBG). The second criterion is based on the\nI-equisingularity of a k-parametric family (k\≥ 1) of generically reduced\nplane curve singularities, which is introduced by Nobile ( citeNo) for\none-parametric families. The equivalence of some kinds of equisingularities of\na family of generically reduced plane curve singularities is also studied.\n

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