Geometry of bifurcation sets of generic unfoldings of corank two functions

We study the geometry of bifurcation sets of generic unfoldings of D_4^± -functions. Taking blow-ups, we show each of the bifurcation sets of D_4^± -functions admits a parametrization as a surface in R^3 . Using this parametrization, we investigate the behavior of the Gaussian curvature and the principal curvatures. Furthermore, we investigate the number of ridge curves and subparabolic curves near their singular point.