Full paper in PDF:
$%J. A. González-Ramírez, Nodal deformations of singularities, Rev. Mat. Complut. 15 (2001), no. 1, 169–198.%$

Nodal Deformations of Singularities
Jorge A. GONZÁLEZ-RAMÍREZ
Universidad Nacional de Educación a Distancia
Ceuta — Spain

Received: March 15, 1999
Revised: May 30, 2001

ABSTRACT

In this note we study deformations of a plane curve singularity (C,P)  to δ(C,P)  nodes. We see that for some types of singularities the method of A’Campo can be carried on using parametric equations. For such singularities we prove that deformations to δ  nodes can be made within the space of curves of the same degree

2000 Mathematics Subject Classification: 32S30, 14B07, 14H20.