An application of a nonuniform global stability problem to the study of parametrized polynomial automorphisms
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2021
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866910790534037504 |
|---|---|
| author | Castañeda, Álvaro Huerta, Ignacio Robledo, Gonzalo |
| author_facet | Castañeda, Álvaro Huerta, Ignacio Robledo, Gonzalo |
| contents | We propose a handful of definitions of injectivity for a parametrized family of maps and study its link with a global nonuniform stability conjecture for nonautonomous differential systems, which has been recently introduced. This relation allow us to address a particular family of parametrized polynomial automorphisms and to prove that they have polynomial inverse for certain parameters, which is reminiscent to the Jacobian Conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_06416 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | An application of a nonuniform global stability problem to the study of parametrized polynomial automorphisms Castañeda, Álvaro Huerta, Ignacio Robledo, Gonzalo Algebraic Geometry 34D09, 14R15 We propose a handful of definitions of injectivity for a parametrized family of maps and study its link with a global nonuniform stability conjecture for nonautonomous differential systems, which has been recently introduced. This relation allow us to address a particular family of parametrized polynomial automorphisms and to prove that they have polynomial inverse for certain parameters, which is reminiscent to the Jacobian Conjecture. |
| title | An application of a nonuniform global stability problem to the study of parametrized polynomial automorphisms |
| topic | Algebraic Geometry 34D09, 14R15 |
| url | https://arxiv.org/abs/2108.06416 |