Abstract
We study the geometry of bifurcation sets of generic unfoldings of \(D_4^\pm \)-functions. Taking blow-ups, we show each of the bifurcation sets of \(D_4^\pm \)-functions admits a parametrization as a surface in \({\varvec{R}}^3\). 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.
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