Singularity-theoretic determination conjecture for the invariant ν of plane curves

Let $C:f=0$ be a reduced plane curve in $\mathbb{P}^2$. The invariant $\nu(C)$ is considered together with the degree of $C$ and the list of analytic types of its isolated singularities.

Singularity-theoretic determination conjecture. The invariant $\nu(C)$ is determined by the degree of $C$ and the list of analytic types of the isolated singularities of $C$.

This extends the preceding line-arrangement claim from combinatorial data to analytic singularity data for arbitrary reduced plane curves. The source gives no resolution status.