An explicit d-bar-integration formula for weighted homogeneous varieties II: forms of higher degree

dc.creatorRuppenthal, Jean
dc.creatorZeron, Eduardo S.
dc.date2008-11-23
dc.date.accessioned2026-07-07T10:20:33Z
dc.date.available2026-07-07T10:20:33Z
dc.descriptionLet Y be a weighted homogeneous (singular) subvariety of C^n. The main objective of this paper is to present a class of explicit integral formulae for solving the d-bar-equation $ω=\dbarλ$ on the regular part of Y, where $ω$ is a d-bar-closed (0,q)-form with compact support and degree q>=1. Particular cases of these formulae yield L^p-bounded solution operators for $1<=p<=\infty$ if Y is a homogeneous and pure dimensional subvariety with an arbitrary singular locus.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0811.3742
dc.identifierhttp://arxiv.org/abs/0811.3742
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174886
dc.subjectComplex Variables
dc.subject32F20; 32W05; 35N15
dc.titleAn explicit d-bar-integration formula for weighted homogeneous varieties II: forms of higher degree
dc.typetext

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