Topology of real and complex polynomials mappings: local and global aspects (at in...
Topology of the fibers of real and complex polynomials mappings: local and global ...
| Full text | |
| Author(s): |
Dutertre, Nicolas
;
Araujo dos Santos, Raimundo N.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | INTERNATIONAL MATHEMATICS RESEARCH NOTICES; v. 2016, n. 16, p. 18-pg., 2016-01-01. |
| Abstract | |
We consider a real analytic map F =(f(1), ... , f(k)) : (R-n, 0) -> (R-k, 0), 2 <= k <= n - 1, that satisfies Milnor's conditions (a) and (b) introduced by D. Massey. This implies that every real analytic map f(I) = (f(i1), ... , f(il)) : (R-n, 0) -> (R-l, 0), induced from F by projections where 1 <= l <= n-2 and I = {i(1), ... , i(l)}, also satisfies Milnor's conditions (a) and (b). We give several relations between the topology of the Milnor fibre of F, the Milnor fibres of the maps f(I), the link of F-1(0), and the links of f(I)(-1) (0). (AU) | |
| FAPESP's process: | 13/23443-5 - Topology of the fibers of real and complex polynomials mappings: local and global (at infinity) aspects |
| Grantee: | Raimundo Nonato Araújo dos Santos |
| Support Opportunities: | Regular Research Grants |