Mapping the benthic habitat of coastal reef using hyperspectral imagery
Numerical control of equisingularity for map germs from cn to c3, n >-3.
Equisingularity of families of surfaces with non-isolated singularities
| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Valencia, Dept Matemat, Campus Burjassot, E-46100 Burjassot - Spain
[2] Univ Fed Sao Carlos, Dept Matemat, Caixa Postal 676, BR-13560905 Sao Carlos, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | COLLECTANEA MATHEMATICA; v. 69, n. 1, p. 65-81, JAN 2018. |
| Web of Science Citations: | 0 |
| Abstract | |
Let (X, 0) be an ICIS of dimension 2 and let be a map germ with an isolated instability. We look at the invariants that appear when is a smoothing of (X, 0) and is a stabilization of f. We find relations between these invariants and also give necessary and sufficient conditions for a 1-parameter family to be Whitney equisingular. As an application, we show that a family is Zariski equisingular if and only if it is Whitney equisingular and the numbers of cusps and double folds of a generic linear projection are constant with respect to t. (AU) | |
| FAPESP's process: | 13/14014-3 - Equisingularity of determinantal varieties |
| Grantee: | Bruna Orefice Okamoto |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 16/04740-7 - Invariants of singular varieties and of maps on singular varieties |
| Grantee: | João Nivaldo Tomazella |
| Support Opportunities: | Regular Research Grants |