A schlichtness theorem for envelopes of holomorphy

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dc.creatorJupiter, Daniel
dc.date2004-04-27
dc.date2005-10-10
dc.date.accessioned2026-07-07T06:36:44Z
dc.date.available2026-07-07T06:36:44Z
dc.descriptionLet Omega be a domain in C^2. We prove the following theorem. If the envelope of holomorphy of Omega is schlicht over Omega, then the envelope is in fact schlicht. We provide examples showing that the theorem is not true in C^n, n>2. Additionally, we show that the theorem cannot be generalized to provide information about domains in C^2 whose envelopes are multiply sheeted.
dc.description10 pages, final version for publication
dc.identifierhttps://arxiv.org/abs/math/0404497
dc.identifierhttp://arxiv.org/abs/math/0404497
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100181
dc.subjectComplex Variables
dc.subject32D10, 32A10
dc.titleA schlichtness theorem for envelopes of holomorphy
dc.typetext

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