| Full text | |
| Author(s): |
Carvalho, R. S.
;
Nuno-Ballesteros, J. J.
;
Orefice-Okamoto, B.
;
Tomazella, J. N.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 53, n. 1, p. 20-pg., 2021-03-02. |
| Abstract | |
We study the equisingularity of a family of function germs {f(t) : (X-t, 0) -> (C, 0)}, where (X-t, 0) are d-dimensional isolated determinantal singularities. We define the (d - 1)th polar multiplicity of the fibers X-t boolean AND f(t)(-1) (0) and we show how the constancy of the polar multiplicities is related to the constancy of the Milnor number of f(t) and the Whitney equisingularity of the family. (AU) | |
| FAPESP's process: | 18/22090-5 - Invariants of Singularities |
| Grantee: | João Nivaldo Tomazella |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 16/25730-0 - Invariant of determinantal singularities and of maps on analytic varieties. |
| Grantee: | Bruna Orefice Okamoto |
| Support Opportunities: | Regular Research Grants |