The calculation of the adjacency indices of type $D$ singularities of a front

Abstract

The formula for the calculation of the adjacency indices of types $D_\mu^\pm$ Legendrian monosingularities to multisingularities of types $A_{\mu_1}^{k_1}\dots A_{\mu_p}^{k_p}$ is obtained in the paper. Namely the number of strata of a given type $A_{\mu_1}^{k_1}\dots A_{\mu_p}^{k_p}$ in the discriminant of a real simple singularity of any of types $D_\mu^\pm$ is calculated.