Equisingularity of families of surfaces with non-isolated singularities
Stable invariants, Milnor numbers and equisingularity in families of map germs.
Determinantal varieties, Euler obstruction, and Whitney equisingularity
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| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, ICMC, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
[2] Univ Nacl Autonoma Mexico, Inst Matemat, Cuernavaca 62210, Morelos - Mexico
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY; v. 166, n. 2, p. 353-369, FEB 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
In this paper, we study families of singular surfaces in C-3 parametrised by A-finitely determined map germs. We consider the topological triviality and Whitney equisingularity of an unfolding F of a finitely determined map germ f : (C-2, 0) -> (C-3, 0). We investigate the following question: topological triviality implies Whitney equisingularity of the unfolding F? We provide a complete answer to this question, by giving counterexamples showing how the conjecture can be false. (AU) | |
| FAPESP's process: | 14/00304-2 - Singularities of differentiable mappings: theory and applications |
| Grantee: | Maria Aparecida Soares Ruas |
| Support Opportunities: | Research Projects - Thematic Grants |