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

Julie Renaud

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

Julie Renaud

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Abstract

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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Julie Renaud. 2005-07-13. Automorphisms of $\mathbb C^k$ and associated compact complex manifolds. https://arxiv.org/abs/math/0507265

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