Sufficient conditions for the realization of Lyapunov graphs as Gutierrez-Sotomayo...
| Full text | |
| Author(s): |
Dutertre, Nicolas
;
Grulha, Nivaldo G., Jr.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS; v. 150, n. 5, p. 32-pg., 2020-10-01. |
| Abstract | |
LetX subset of DOUBLE-STRUCK CAPITAL C(n)be an equidimensional complex algebraic set and letf:X -> DOUBLE-STRUCK CAPITAL C be a polynomial function. For eachc is an element of DOUBLE-STRUCK CAPITAL C, we define the global Brasselet number offatc, a global counterpart of the Brasselet number defined by the authors in a previous work, and the Brasselet number at infinity offatc. Then we establish several formulas relating these numbers to the topology ofXand the critical points off. (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 |