| Full text | |
| Author(s): |
Carvalho, R. S.
[1]
;
Nuno-Ballesteros, J. J.
[2, 3]
;
Orefice-Okamoto, B.
[1]
;
Tomazella, J. N.
[1]
Total Authors: 4
|
| Affiliation: | [1] Univ Fed Sao Carlos, Dept Matemat, Caixa Postal 676, BR-13560905 Sao Carlos - Brazil
[2] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, Paraiba - Brazil
[3] Univ Valencia, Dept Matemat, Campus Burjassot, Burjassot 46100 - Spain
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | INTERNATIONAL JOURNAL OF MATHEMATICS; v. 32, n. 13 DEC 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
We show that a family of isolated complete intersection singularities (ICIS) with constant total Milnor number has no coalescence of singularities. This extends a well-known result of Gabrielov, Lazzeri and Le for hypersurfaces. We use A'Campo's theorem to see that the Lefschetz number of the generic monodromy of the ICIS is zero when the ICIS is singular. We give a pair applications for families of functions on ICIS which extend also some known results for functions on a smooth variety. (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 |