A characterization of local nilpotence for dimension two polynomial derivations
Commutative Algebra
2020-12-08 v1
Abstract
Let K be an algebraically closed field. We prove that a polynomial K-derivation 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.
Keywords
Cite
@article{arxiv.2012.03773,
title = {A characterization of local nilpotence for dimension two polynomial derivations},
author = {Ivan Pan},
journal= {arXiv preprint arXiv:2012.03773},
year = {2020}
}
Comments
5 pages