Analysis & PDE Vol. 6, No. 2, 2013

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ISSN: 1948-206X (e-only)

ISSN: 2157-5045 (print)

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Embeddings of infinitely connected planar domains into $\mathbb C^2$

Franc Forstnerič and Erlend Fornæss Wold

Vol. 6 (2013), No. 2, 499–514

DOI: 10.2140/apde.2013.6.499

Abstract

We prove that every circled domain in the Riemann sphere admits a proper holomorphic embedding into the affine plane $ℂ^{2}$ .

Keywords

Riemann surfaces, complex curves, proper holomorphic embeddings

Mathematical Subject Classification 2010

Primary: 32C22, 32E10, 32M17

Secondary: 14H55

Milestones

Received: 21 May 2012

Accepted: 26 June 2012

Published: 24 June 2013

Authors

Franc Forstnerič
Fakulteta za matematiko in fiziko Univerza v Ljubljani Jadranska 19 1000 Ljubljana Slovenia
http://www.fmf.uni-lj.si/~forstneric/
Erlend Fornæss Wold
Matematisk Institutt Universitetet i Oslo Postboks 1053 0316 Oslo Norway