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A note on exhaustion of hyperbolic complex manifolds

Published 6 Jun 2020 in math.CV | (2006.03821v1)

Abstract: The purpose of this article is to investigate a hyperbolic complex manifold $M$ exhausted by a pseudoconvex domain $\Omega$ in $\mathbb Cn$ 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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