# A Characterization of Semisimple Plane Polynomial Automorphisms

Authors
Type
Preprint
Publication Date
Apr 24, 2008
Submission Date
Apr 14, 2008
Source
arXiv
It is well-known that an element of the linear group ${\rm GL}_n(\C)$ is semisimple if and only if its conjugacy class is Zariski closed. The aim of this paper is to show that the same result holds for the group of complex plane polynomial automorphisms.