ON VERTICES AND INFLECTIONS OF PLANE CURVES

被引：2
|
作者：
Dias, Fabio Scalco [1 ]
Tari, Farid [2 ]
机构：
[1] Univ Fed Itajuba, Inst Matemat & Comp, Ave BPS 1303, BR-37500903 Itajuba, MG, Brazil
[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Ave Trabalhador Sao Carlense 400, BR-13566590 Sao Carlos, SP, Brazil
来源：
JOURNAL OF SINGULARITIES | 2018年 / 17卷
基金：
巴西圣保罗研究基金会;
关键词：
bifurcations; evolutes; plane curves; inflections; vertices; singularities;
D O I：
10.5427/jsing.2018.17d
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We count the number of inflections (I) and vertices (V) concentrated at the singularity of a germ of a parametrised plane curve and show that V = I + mu - 2, where mu is the Milnor number of a certain singularity.
引用
收藏
页码：70 / 80
页数：11
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