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arXiv · 1110.5354

Embeddings of infinitely connected planar domains into C^2

Franc Forstneric·Erlend Fornaess Wold
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Abstract

We prove that every circled domain in the Riemann sphere admits a proper holomorphic embedding to C^2. Our methods also apply to circled domains with punctures, provided that all but finitely many of the punctures belong to the closure of the set of complementary discs.

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Franc Forstneric, Erlend Fornaess Wold. 2012-06-26. Embeddings of infinitely connected planar domains into C^2. https://doi.org/10.2140/apde.2013.6.499

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