A characterization of local nilpotence for dimension two polynomial derivations

Abstract

Let K be an algebraically closed field. We prove that a polynomial K-derivation $D$ in two variables is locally nilpotent if and only if the subgroup of polynomial K-automorphisms which commute with D admits elements whose degree is arbitrary big.

5 pages

References in corpus (1)

• Automorphisms of the plane preserving a curve