On the real Jacobian conjecture and the center-type singularities
Invariant of determinantal singularities and of maps on analytic varieties.
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Universidade Federal de Rondônia. Departamento de Matemática - Brasil
[2] Universitat Autònoma de Barcelona. Department de Matemàtiques - Espanha
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Anais da Academia Brasileira de Ciências; v. 91, n. 2 2019-07-01. |
| Abstract | |
Abstract: We present two new classes of polynomial maps satisfying the real Jacobian conjecture in ℝ 2. The first class is formed by the polynomials maps of the form (q(x)–p(y), q(y)+p(x)) : R 2 ⟶ R 2 such that p and q are real polynomials satisfying p'(x)q'(x) ≠ 0. The second class is formed by polynomials maps (f, g): R 2 ⟶ R 2 where f and g are real homogeneous polynomials of the same arbitrary degree satisfying some conditions. (AU) | |
| FAPESP's process: | 16/23285-9 - On the real Jacobian conjecture and the center-type singularities |
| Grantee: | Jackson Itikawa |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |