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arXiv · 1811.01189

On the number of cusps of deformations of complex polynomials

Kazumasa Inaba
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Abstract

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.

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Kazumasa Inaba. 2018-11-03. On the number of cusps of deformations of complex polynomials. https://arxiv.org/abs/1811.01189

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