On the Automorphism Group of a Polynomial Differential Ring in Two Variables
Commutative Algebra
2019-10-28 v2 Algebraic Geometry
Abstract
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] \to 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.
Keywords
Cite
@article{arxiv.1910.05278,
title = {On the Automorphism Group of a Polynomial Differential Ring in Two Variables},
author = {I. Pan and R. Baltazar},
journal= {arXiv preprint arXiv:1910.05278},
year = {2019}
}