Khawar Mehmood, Gerhard Pfister : Unimodal Singularities of Parametrized Plane Curves, 417-424

Abstract:

We use the results of Hefez and Hernandez [7] to give a different proof for the classification of simple singularities of mappings $( \mathbb{C}, 0)$ $\longrightarrow$ $( \mathbb{C}^{2}, 0)$ with respect to $\mathcal{A}$ equivalence done by Bruce and Gaffney [2] and give the classification of unimodal singularities. The result are extended to a classification over the real numbers $\mathbb{R}$.

Key Words: parametrized plane curves, unimodal singularities.

2010 Mathematics Subject Classification: Primary 14H20. Secondary 14B05