| Full text | |
| Author(s): |
Giles Flores, Arturo
;
Silva, Otoniel Nogueira
;
Snoussi, Jawad
Total Authors: 3
|
| Document type: | Journal article |
| Source: | JOURNAL OF SINGULARITIES; v. 24, p. 23-pg., 2022-01-01. |
| Abstract | |
From a procedure to calculate the C-5-cone of a reduced complex analytic curve X subset of C-n at a singular point 0 is an element of X, we extract a collection of integers that we call auxiliary multiplicities and we prove they characterize the Lipschitz type of complex curve singularities. We then use them to improve the known bounds for the number of irreducible components of the C-5-cone. We finish by giving an example showing that in a Lipschitz equisingular family of curves the number of planes in the C-5-cone may not be constant. (AU) | |
| FAPESP's process: | 20/10888-2 - Equisingularity of families of surfaces with non-isolated singularities |
| Grantee: | Otoniel Nogueira da Silva |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |