Automorphisms of $\mathbb C^k$ and associated compact complex manifolds

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75770In this paper, we first construct $k$-dimensional compact complex manifolds from automorphisms of $\mathbb{C}^k$ 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.Complex VariablesDynamical Systems37F10Automorphisms of $\mathbb C^k$ and associated compact complex manifoldstext