| Full text | |
| Author(s): |
Braun, Francisco
;
Dias, Luis Renato Goncalves
;
Venato-Santos, Jean
Total Authors: 3
|
| Document type: | Journal article |
| Source: | PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY; v. 63, n. 3, p. 10-pg., 2020-08-01. |
| Abstract | |
We obtain a new theorem for the non-properness set S-f of a non-singular polynomial mapping f : C-n -> C-n. In particular, our result shows that if f is a counterexample to the Jacobian conjecture, then S-f boolean AND Z not equal empty set, for every hypersurface Z dominated by Cn-1 on which some non-singular polynomial h (:) C-n -> C is constant. Also, we present topological approaches to the Jacobian conjecture in C-n. As applications, we extend bidimensional results of Rabier, Le and Weber to higher dimensions. (AU) | |
| FAPESP's process: | 17/00136-0 - Global injectivity of maps in R^n |
| Grantee: | Francisco Braun |
| Support Opportunities: | Regular Research Grants |