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Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/942
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dc.contributor.authorHarris, Aen
dc.contributor.authorTonegawa, Yen
dc.date.accessioned2008-08-18T15:47:00Z-
dc.date.issued2003-
dc.identifier.citationProceedings of the American Mathematical Society, 131(11), p. 3329-3334en
dc.identifier.issn1088-6826en
dc.identifier.issn0002-9939en
dc.identifier.urihttps://hdl.handle.net/1959.11/942-
dc.description.abstractLet <i>X</i> be an analytic subvariety of complex Euclidean space with isolated singularity at the origin, and let <i>η</i> be a smooth form of type (1.1) defined on <i>X</i>\{0}. The main result of this note is a criterion for solubility of the equation <i>∂∂u = η</i>. This implies a criterion for triviality of a Hermitian– holomorphic line bundle <i>(L,h)</i> --> <i>X</i>\{0} in a neighbourhood of the origin.en
dc.languageenen
dc.publisherAmerican Mathematical Societyen
dc.relation.ispartofProceedings of the American Mathematical Societyen
dc.titleA ∂∂-Poincaré Lemma for forms near an isolated complex singularityen
dc.typeJournal Articleen
dc.identifier.doi10.1090/S0002-9939-03-06875-8en
dcterms.accessRightsUNE Greenen
dc.subject.keywordsReal and Complex Functions (incl Several Variables)en
local.contributor.firstnameAen
local.contributor.firstnameYen
local.subject.for2008010111 Real and Complex Functions (incl Several Variables)en
local.subject.seo780101 Mathematical sciencesen
local.profile.schoolSchool of Science and Technologyen
local.profile.emailaharris5@une.edu.auen
local.output.categoryC1en
local.record.placeauen
local.record.institutionUniversity of New Englanden
local.identifier.epublicationsrecordpes:3648en
local.publisher.placeUnited States of Americaen
local.format.startpage3329en
local.format.endpage3334en
local.identifier.scopusid0142200254en
local.peerreviewedYesen
local.identifier.volume131en
local.identifier.issue11en
local.access.fulltextYesen
local.contributor.lastnameHarrisen
local.contributor.lastnameTonegawaen
dc.identifier.staffune-id:aharris5en
local.profile.orcid0000-0002-1259-1122en
local.profile.roleauthoren
local.profile.roleauthoren
local.identifier.unepublicationidune:960en
dc.identifier.academiclevelAcademicen
local.title.maintitleA ∂∂-Poincaré Lemma for forms near an isolated complex singularityen
local.output.categorydescriptionC1 Refereed Article in a Scholarly Journalen
local.search.authorHarris, Aen
local.search.authorTonegawa, Yen
local.open.fileurlhttps://rune.une.edu.au/web/retrieve/4322a260-5108-4c3f-ab56-6b3ca4923594en
local.uneassociationUnknownen
local.year.published2003en
local.fileurl.openhttps://rune.une.edu.au/web/retrieve/4322a260-5108-4c3f-ab56-6b3ca4923594en
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