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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.
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 -