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arXiv · 2006.03821

A note on exhaustion of hyperbolic complex manifolds

Ninh Van Thu·Trinh Huy Vu
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Abstract

The purpose of this article is to investigate a hyperbolic complex manifold $M$ exhausted by a pseudoconvex domain $\Omega$ in $\mathbb C^n$ via an exhausting sequence $\{f_j\colon \Omega\to M\}$ such that $f_j^{-1}(a)$ converges to a boundary point $\xi_0 \in \partial \Omega$ for some point $a\in M$.

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Ninh Van Thu, Trinh Huy Vu. 2020-06-06. A note on exhaustion of hyperbolic complex manifolds. https://arxiv.org/abs/2006.03821

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