Affiliation:
1. School of Mathematics, Jilin University, Changchun 130012, P. R. China
Abstract
The investigation of co-tame automorphisms of the affine space [Formula: see text] is helpful to understand the structure of its automorphisms group. In this paper, we show the co-tameness of several classes of automorphisms, including some 3-parabolic automorphisms, power-linear automorphisms, homogeneous automorphisms in small dimension or small transcendence degree. We also classify all additive-nilpotent automorphisms in dimension four and show that they are co-tame.
Publisher
World Scientific Pub Co Pte Ltd