Nodal deformations of singularities.

Jorge A. González-Ramírez

Revista Matemática Complutense (2002)

  • Volume: 15, Issue: 1, page 169-198
  • ISSN: 1139-1138

Abstract

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In this note we study deformations of a plane curve singularity (C,P) toδ(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.

How to cite

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González-Ramírez, Jorge A.. "Nodal deformations of singularities.." Revista Matemática Complutense 15.1 (2002): 169-198. <http://eudml.org/doc/44410>.

@article{González2002,
abstract = {In this note we study deformations of a plane curve singularity (C,P) toδ(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.},
author = {González-Ramírez, Jorge A.},
journal = {Revista Matemática Complutense},
keywords = {Curvas planas; Singularidades; Parametrización; deformation; real curve singularities; algebraic curves with nodes},
language = {eng},
number = {1},
pages = {169-198},
title = {Nodal deformations of singularities.},
url = {http://eudml.org/doc/44410},
volume = {15},
year = {2002},
}

TY - JOUR
AU - González-Ramírez, Jorge A.
TI - Nodal deformations of singularities.
JO - Revista Matemática Complutense
PY - 2002
VL - 15
IS - 1
SP - 169
EP - 198
AB - In this note we study deformations of a plane curve singularity (C,P) toδ(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.
LA - eng
KW - Curvas planas; Singularidades; Parametrización; deformation; real curve singularities; algebraic curves with nodes
UR - http://eudml.org/doc/44410
ER -

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