Open AccessNodal deformations of singularities
Author(s) -
Jorge A. González-ramírez
Publication year - 2002
Publication title -
revista matemática complutense
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.093
H-Index - 24
eISSN - 1696-8220
pISSN - 1139-1138
DOI - 10.5209/rev_rema.2002.v15.n1.16960
Subject(s) - gravitational singularity , singularity , plane curve , mathematics , plane (geometry) , mathematical analysis , degree (music) , nodal , parametric equation , parametric statistics , singularity theory , space (punctuation) , pure mathematics , geometry , physics , computer science , anatomy , medicine , operating system , statistics , acoustics
In this note we study deformations of a plane curve singularity (C; P) to Æ(C; P) nodes. We see that for some types of singular ities the method of A'Campo can be carried on using parametric equations. For such singularities we prove that deformations to Æ nodes can be made within the space of curves of the same degree.In this note we study deformations of a plane curve singularity (C; P) to Æ(C; P) nodes. We see that for some types of singular ities the method of A'Campo can be carried on using parametric equations. For such singularities we prove that deformations to Æ nodes can be made within the space of curves of the same degree