Counting $D_4$ singularities in the image of a wave front

C. Muñoz-Cabello, J. J. Nuño-Ballesteros, R. Oset Sinha

We give a formula to count the number of $D_4$ singularities in a stable frontal perturbation of a corank $2$ wave front singularity $f:({\mathbb{C}}^3,0)\to ({\mathbb{C}}^4,0)$…