Automorphisms of $\mathbb C^k$ and associated compact complex manifolds
Complex Variables
2007-05-23 v1 Dynamical Systems
Abstract
In this paper, we first construct -dimensional compact complex manifolds from automorphisms of which admit a fixed attracting point at infinity. Then, we charactize the fundamental group as well as the universal covering of the attracting basin of this fixed point thanks to a generalization of the method described by T. Bousch in his thesis.
Cite
@article{arxiv.math/0507265,
title = {Automorphisms of $\mathbb C^k$ and associated compact complex manifolds},
author = {Julie Renaud},
journal= {arXiv preprint arXiv:math/0507265},
year = {2007}
}