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arXiv · 2003.06728

A Kobayashi and Bergman complete domain without bounded representations

Nikolay Shcherbina·Liyou Zhang
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Abstract

We construct an unbounded strictly pseudoconvex Kobayashi hyperbolic and complete domain in $\mathbb{C}^2$, which also possesses complete Bergman metric, but has no nonconstant bounded holomorphic functions.

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Nikolay Shcherbina, Liyou Zhang. 2020-03-15. A Kobayashi and Bergman complete domain without bounded representations. https://arxiv.org/abs/2003.06728

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