| Texto completo | |
| Autor(es): |
Dias, F. S.
;
Nuno-Ballesteros, J. J.
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | QUARTERLY JOURNAL OF MATHEMATICS; v. 59, p. 24-pg., 2008-09-01. |
| Resumo | |
We look at plane curve diagrams (f,alpha), which are given by a plane curve multigerm alpha : (R, S) -> R-2 and a function on it f : (R, S) -> R. We obtain a classification of all such diagrams, where alpha has e-codimension <= 2 and f has finite order. Then we define an equivalence between plane curves which we call Ah(alpha)-equivalence and which is determined by the class of the diagram (h(alpha), alpha). Here, h alpha denotes the height function of alpha with respect to its normal vector. This is an equivalence which not only takes into account the topology of the singularity of alpha, but also its flat geometry. Finally, we apply our results in order to obtain a classification of all the plane projections of a generic space curve gamma embedded in R-3. (AU) | |
| Processo FAPESP: | 01/00652-0 - Geometria das singularidades de projeções |
| Beneficiário: | Fabio Scalco Dias |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado |