On the Automorphism Group of a polynomial differential ring in two variables

Baltazar, Rene - Pan, Iván

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.


Detalles Bibliográficos
2019
Differential rings
polynomial automorphism
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)