Kazumasa Inaba
Published 2018-11-03Version 1
Let f be a 1-variable complex polynomial such that f has a singularity at the origin. In the present paper, we show that there exists a deformation of f which has only fold singularities and cusps as singularities of a real polynomial map from the plane to the plane. We then calculate the number of cusps of a deformation in a sufficiently small neighborhood of the origin.
Deformation and Smoothing of Singularities
On the $k$-th Tjurina number of weighted homogeneous singularities
Upper bounds of topology of complex polynomials in two variables
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