On vertices and inflections of singular plane curves

James William Bruce, Marco Antônio do Couto Fernandes, Farid Tari

Given the germ of a smooth plane curve $(\{f(x,y)=0\},0)\subset ({\mathbb{K}}^2,0),\mathbb{K}=\mathbb{R},\mathbb{C}$, with an isolated singularity, we define two invariants $I_f$ a…