Locally nilpotent derivations and automorphism groups of certain Danielewski surfaces

Angelo Calil Bianchi, Marcelo Oliveira Veloso

We describe the set of all locally nilpotent derivations of the quotient ring $\mathbb{K}[X,Y,Z]/(f(X)Y-\phi (X,Z))$ constructed from the defining equation $f(X)Y=\phi (X,Z)$ of a gene…