Embeddings of infinitely connected planar domains into C^2

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.

Analysis and PDE, to appear

References in corpus (1)

• Bordered Riemann surfaces in C^2

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