Abstract
Let $M \subset \mathbf{R}^{n+2}$ be a two-dimensional complete intersection. We show how to check whether a mapping $f : M \rightarrow \mathbf{R}^2$ is 1-generic with only folds and cusps as singularities. In this case we give an effective method to count the number of positive and negative cusps of a polynomial $f$, using the signatures of some quadratic forms.
Citation
Iwona Krzyżanowska. Aleksandra Nowel. "Criteria for singularities for mappings from two-manifold to the plane. The number and signs of cusps." Kodai Math. J. 40 (2) 200 - 213, June 2017. https://doi.org/10.2996/kmj/1499846594