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 ...
Vanishing homology and multiple-point spaces of singular maps
| Full text | |
| Author(s): |
Grulha Jr, N. G.
;
Martins, R. S.
[1]
Total Authors: 2
|
| Affiliation: | [1] UFSC, R Dona Francisca 8300, BR-89219600 Joinville, SC - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 52, n. 2 MAR 2020. |
| Web of Science Citations: | 1 |
| Abstract | |
In this article we investigate mixed polynomials and present conditions that can be applied on a specific class of polynomials in order to prove the existence of the Milnor Fibration, Milnor-LeFibration and the equivalence between them. We prove for this class the of functions that the Milnor-Le fiber on a regular value is homeomorphic to the Milnor-Le fiber on a critical value. We develop a criterion to verify the transversality property and apply it to a special case of the class of mixed polynomial. (AU) | |
| FAPESP's process: | 17/09620-2 - Topology and geometry of singular spaces and applications |
| Grantee: | Nivaldo de Góes Grulha Júnior |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 13/22718-0 - On the Topology of the Milnor Fibrations |
| Grantee: | Rafaella de Souza Martins |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 15/19721-5 - On the topology of the Milnor fibrations |
| Grantee: | Rafaella de Souza Martins |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |