Linearization of holomorphic families of algebraic automorphisms of the affine plane

Shigeru Kuroda, Frank Kutzschebauch, Tomasz Pełka

Let $G$ be a reductive group. We prove that a family of polynomial actions of $G$ on ${\mathbb{C}}^2$, holomorphically parametrized by an open Riemann surface, is linearizable. As an…