A new sufficient condition in order that the real Jacobian conjecture in R2 holds
Let F = (f,g) : R2 → R2 be a polynomial map such that det(DF(x,y)) is nowhere zero and F(0,0) = (0,0). In this work we give a new sufficient condition for the injectivity of F. We also state a conjecture when det(DF(x,y)) = constant ≠ 0 and F(0,0) = (0,0) equivalent to the Jacobian conjecture....
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:239777 |
| Acceso en línea: | https://ddd.uab.cat/record/239777 https://dx.doi.org/urn:doi:10.1016/j.jde.2021.01.038 |
| Access Level: | acceso abierto |
| Palabra clave: | Real Jacobian conjecture Global injectivity Center |
| Sumario: | Let F = (f,g) : R2 → R2 be a polynomial map such that det(DF(x,y)) is nowhere zero and F(0,0) = (0,0). In this work we give a new sufficient condition for the injectivity of F. We also state a conjecture when det(DF(x,y)) = constant ≠ 0 and F(0,0) = (0,0) equivalent to the Jacobian conjecture. |
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