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arxiv: 1501.00588 · v1 · pith:XMHNAORInew · submitted 2015-01-03 · 🧮 math.CV · math.DG

Complete proper holomorphic embeddings of strictly pseudoconvex domains into balls

classification 🧮 math.CV math.DG
keywords completeholomorphicmathbbproperpseudoconvexstrictlyalarconanswering
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We construct a complete proper holomorphic embedding from any strictly pseudoconvex domain with $\mathcal{C}^2$-boundary in $\mathbb{C}^n$ into the unit ball of $\mathbb{C}^N$, for $N$ large enough, thereby answering a question of Alarcon and Forstneric.

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