Global Variants of Hartogs' Theorem

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dc.bibliographicCitation.seriesTitleOberwolfach Preprints (OWP)eng
dc.bibliographicCitation.volume24
dc.contributor.authorBochnak, Jacek
dc.contributor.authorKucharz, Wojciech
dc.date.accessioned2024-10-16T15:05:24Z
dc.date.available2024-10-16T15:05:24Z
dc.date.issued2018
dc.description.abstractHartogs' theorem asserts that a separately holomorphic function, defined on an open subset of Cⁿ, is holomorphic in all the variables. We prove a global variant of this theorem for functions defined on an open subset of the product of complex algebraic manifolds. We also obtain global Hartogs-type theorems for complex Nash functions and complex regular functions.
dc.description.versionpublishedVersion
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/16887
dc.identifier.urihttps://doi.org/10.34657/15909
dc.language.isoeng
dc.publisherOberwolfach : Mathematisches Forschungsinstitut Oberwolfach
dc.relation.doihttps://doi.org/10.14760/OWP-2018-24
dc.relation.issn1864-7596
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.
dc.subject.ddc510
dc.subject.otherSeparately holomorphiceng
dc.subject.otherHartog's theoremeng
dc.subject.otherComplex algebraic manifoldeng
dc.subject.otherGlobal Hartog's theoremeng
dc.subject.otherNash functioneng
dc.subject.otherRegular functioneng
dc.titleGlobal Variants of Hartogs' Theorem
dc.typeReport
dc.typeText
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