Nimra Javed, Afshan Sadiq: A new proof for the classification of simple parameterized space curve singularities, 187-197

Abstract:

Let $\mathbb{K}$ be an algebraically closed field of characteristic 0. The aim of the article is to give a new proof for the classification of simple parameterized space curve singularities classified by Gibson and Hobbs [6]. The proof is based on explicit computations to be a basis for the corresponding classification in characteristic $p>0$.

Key Words: Simple singularities, space curves, parametrized curves.

2010 Mathematics Subject Classification: Primary 14H20; Secondary 14H50, 14B05.