Nimra Javed, Gerhard Pfister: Simple singularities of parametrized space curves in positive characteristic, 35-62

Abstract:

Let $\mathbb{K}$ be an algebraically closed field of characteristic $p>0$. The aim of the article is to give a classification of simple parametrized space curve singularities over $\mathbb{K}$. The idea is to give explicitly a class of families of singularities which are not simple such that almost all singularities deform to one of those and show that remaining singularities are simple.

Key Words: Simple singularities, space curves, parametrized curves, characteristic $p\geq 0$.

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