On Isotropy Group of Danielewski Surfaces

2020/04/17 by Baltazar, Rene, Veloso, Marcelo · 3 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2004.11748

Abstract

In the present work we consider differential rings of the form (\mathcal B,D) where \mathcal B is a Danielewski surface and D is a locally nilpotent derivation on \mathcal B. Influenced by several recent works, we describe the isotropy group of a locally nilpotent derivation, D, on Danielewski surfaces, in the cases xy = φ(z), xⁿy=φ(Z), and f(x)x = φ(z).

Cited by

• The isotropy group of a derivation on a Danielewski-type algebra
• On the Isotropy Groups of Non-Invertible Simple Derivations
• On Isotropy Groups of Quantum Plane

Related

• Lie algebra generated by locally nilpotent derivations on Danielewski surfaces
• Isomorphisms between cylinders over Danielewski surfaces
• On automorphisms of Danielewski surfaces
• On differential polynomial rings over locally nilpotent rings
• On Generalised Danielewski Surfaces over fields of arbitrary characteristic