On the Automorphism Group of a Polynomial Differential Ring in Two Variables

2019/10/11 by Iván Pan, Rene Baltazar, Pan, I. +1 · 2 citations
Mathematics · Medicine · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models

paper · pdf · doi:10.48550/arxiv.1910.05278

openalex publication_date 2019/10/11 · openalex created_date 2019/10/18 · openalex updated_date 2026/07/28

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] → 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.

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