Pluripolar hulls and fine analytic structure

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dc.creatorEdlund, Tomas
dc.creatorMarzguioui, Said El
dc.date2007-09-13
dc.date2008-01-30
dc.date.accessioned2026-07-07T08:56:58Z
dc.date.available2026-07-07T08:56:58Z
dc.descriptionWe discuss the relation between pluripolar hulls and fine analytic structure. Our main result is the following. For each non polar subset $S$ of the complex plane $\mathbb C$ we prove that there exists a pluripolar set $E \subset (S \times \mathbb C)$ with the property that the pluripolar hull of $E$ relative to $\mathbb C^2$ contains no fine analytic structure and its projection onto the first coordinate plane equals $\mathbb C$.
dc.description14 pages, revised version, to appear in Indagationes Mathematicae
dc.identifierhttps://arxiv.org/abs/0709.2102
dc.identifierhttp://arxiv.org/abs/0709.2102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146804
dc.subjectComplex Variables
dc.subject32U15, 32E20, 31C40
dc.titlePluripolar hulls and fine analytic structure
dc.typetext

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