A Characterization of Semisimple Plane Polynomial Automorphisms

Details A Characterization of Semisimple Plane Polynomial Automorphisms A Characterization of Semisimple Plane Polynomial Automorphisms

2008-04-14

arxiv.org/abs/0804.2157v2

Mathematics

Algebraic Geometry

15 pages; (v2): added the word "Automorphism" in the title (which was forgotten)

Scientific paper

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.

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