Lattice-polytope conjecture for generic surface-map singularities

Let $cA$ be the parameter space of maps associated with a triple $cbmA\inccIthth$ of integer polytopes, and let $cA_1$, $cA_2$, and $cA_3$ denote the indicated singularity types. Lattice-polytope singularity conjecture. There exist integers $m_1$, $m_2$, and $m_3$, depending only on the respective singularity types $cA_3$, $cA_2cA_1$, and $cA_1^3$, such that a singularity of a generic map $f\incA$ is of one of these three types and, if $cdelta_0(f)$ measures the Milnor number at the origin, then

$$\hcir\Delta(f)-\hcir\Sigma(f)=m_1\#cA_3(f)+m_2\#cA_2cA_1(f)+m_3\#cA_1^3(f)+cdelta_0(f).$$

This is presented as a generalization of a theorem on generic polynomial maps, and the preceding text says that the generalization remains open.