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

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

2005-07-13

arxiv.org/abs/math/0507265v1

Mathematics

Complex Variables

Scientific paper

In 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.

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