New semi-Lagrangian approaches for treatment of moving surfaces by using Level Sets
Determinantal varieties, Euler obstruction, and Whitney equisingularity
Differential equations with fractional derivatives and their applications
| Full text | |
| Author(s): |
Grulha Jr, Nivaldo G. Jr
;
Ruiz, Camila M.
;
Santana, Hellen
Total Authors: 3
|
| Document type: | Journal article |
| Source: | INTERNATIONAL JOURNAL OF MATHEMATICS; v. 33, n. 04, p. 17-pg., 2022-03-01. |
| Abstract | |
In this work, we investigate the topological information captured by the Euler obstruction of a map-germ, f : (X, 0) -> (C-2, 0), where (X, 0) denotes a germ of a complex d-equidimensional singular space, with d > 2, and its relation with the local Euler obstruction of the coordinate functions and consequently, with the Brasselet number. Moreover, under some technical conditions on the domain, we relate the Chern number of a special collection related to the map-germ f at the origin with the number of cusps of a generic perturbation of f on a stabilization of (X, f). (AU) | |
| FAPESP's process: | 19/21181-0 - New frontiers in Singularity Theory |
| Grantee: | Regilene Delazari dos Santos Oliveira |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 15/25191-9 - The Euler obstruction and generalizations |
| Grantee: | Hellen Monção de Carvalho Santana |
| Support Opportunities: | Scholarships in Brazil - Doctorate |