ON VERTICES AND INFLECTIONS OF PLANE CURVES

JOURNAL OF SINGULARITIES（2018）

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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.

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关键词

bifurcations,evolutes,plane curves,inflections,vertices,singularities

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