On the number of cusps of deformations of complex polynomials
Algebraic Geometry
2018-11-06 v1 Complex Variables
Geometric Topology
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.
Cite
@article{arxiv.1811.01189,
title = {On the number of cusps of deformations of complex polynomials},
author = {Kazumasa Inaba},
journal= {arXiv preprint arXiv:1811.01189},
year = {2018}
}
Comments
12 pages