A Characterization of Semisimple Plane Polynomial Automorphisms
arXiv:0804.2157
Abstract
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.
15 pages; (v2): added the word "Automorphism" in the title (which was forgotten)