  We enumerate plane complex algebraic curves of a given degree with one
singularity of any given topological type. Our approach is to compute the
homology classes of the corresponding equisingular strata in the parameter
spaces of plane curves. We suggest a recursive procedure, which is based on the
intersection theory combined with liftings and degenerations. The procedure
computes the homology class in question whenever a given singularity type is
defined. Our method does not require the knowledge of all the possible
deformations of a given singularity.
