An embedding of the unit ball that does not embed into a Loewner chain

John Erik Fornaess; Erlend Fornaess Wold

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arXiv · 1806.03591

An embedding of the unit ball that does not embed into a Loewner chain

John Erik Fornaess·Erlend Fornaess Wold

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Abstract

We construct a holomorphic embedding $\phi:\mathbb B^3\rightarrow\mathbb C^3$ such that $\phi(\mathbb B^3)$ is not Runge in any strictly larger domain. As a consequence, $\mathcal S\neq\mathcal S^1$ for $n=3$.

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John Erik Fornaess, Erlend Fornaess Wold. 2018-06-10. An embedding of the unit ball that does not embed into a Loewner chain. https://arxiv.org/abs/1806.03591

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