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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.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


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