The Dolbeault complex with weights according to normal crossings

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dc.creatorRuppenthal, Jean
dc.date2008-03-09
dc.date2009-03-23
dc.date.accessioned2026-07-07T12:54:37Z
dc.date.available2026-07-07T12:54:37Z
dc.descriptionIn this paper, we define a Dolbeault complex with weights according to normal crossings, which is a useful tool for studying the d-bar-equation on singular complex spaces by resolution of singularities (where normal crossings appear naturally). The major difficulty is to prove that this complex is locally exact. We do that by constructing a local d-bar-solution operator which involves only Cauchy's Integral Formula (in one complex variable) and behaves well for L^p-forms with weights according to normal crossings.
dc.description29 pages; extended introduction, new references
dc.identifierhttps://arxiv.org/abs/0803.1187
dc.identifierhttp://arxiv.org/abs/0803.1187
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223995
dc.subjectComplex Variables
dc.subject32A10; 32C35; 32C36
dc.titleThe Dolbeault complex with weights according to normal crossings
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