Criteria and Curvatures for Singularities of Finite Multiplicities of Curves in ${\mathbf{R}}^N$

Jun Matsumoto, Shuki Sano, Kiyoto Yanagida

First, this paper presents a systematic procedure for constructing criteria for singularities of curves of finite multiplicities in ${\mathbf{R}}^N$. Based on this method, we pro…