On the Automorphism Group of a polynomial differential ring in two variables
Resumen:
We consider differential rings of the form (K[x, y],D), where K is an algebraically closed field of characteristic zero and D : K[x, y] / K[x, y] is a K-derivation. We study the Automorphism Group of such a ring and give criteria for deciding whether that group is an algebraic group. In most cases, from that study we deduce a primary classification of this type of differential ring up to conjugation with a polynomial automorphism.
| 2019 | |
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Differential rings polynomial automorphism |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/41663 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Compartir Igual (CC - By-NC-SA 4.0) |
| Sumario: | Publicado también en: Journal of Algebra, 2021, 576:197-227. DOI: 10.1016/j.jalgebra.2021.02.009. |
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