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dc.contributor.authorBochnak, Jacek
dc.contributor.authorKucharz, Wojciech
dc.date.accessioned2018-11-06T07:25:50Z
dc.date.available2018-11-06T07:25:50Z
dc.date.issued2018-11-06
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1391
dc.description.abstractHartogs' theorem asserts that a separately holomorphic function, defined on an open subset of $\mathbb{C}^n$, 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.en_US
dc.language.isoen_USen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2018,24
dc.subjectSeparately holomorphicen_US
dc.subjectHartog's theoremen_US
dc.subjectComplex algebraic manifolden_US
dc.subjectGlobal Hartog's theoremen_US
dc.subjectNash functionen_US
dc.subjectRegular functionen_US
dc.titleGlobal Variants of Hartogs' Theoremen_US
dc.typePreprinten_US
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.de
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.en
dc.identifier.doi10.14760/OWP-2018-24
local.scientificprogramResearch in Pairs 2018en_US
local.series.idOWP-2018-24en_US
local.subject.msc32en_US
local.subject.msc14en_US
dc.identifier.urnurn:nbn:de:101:1-2018121110241790143233
dc.identifier.ppn1657807096


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