Strong q-convexity in uniform neighborhoods of subvarieties in coverings of complex spaces

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dc.creatorFraboni, Michael
dc.creatorNapier, Terrence
dc.date2007-05-21
dc.date.accessioned2026-07-07T08:02:47Z
dc.date.available2026-07-07T08:02:47Z
dc.descriptionThe main result is that, for any projective compact analytic subset A of dimension q>0 in a reduced complex space X, there is a neighborhood U of A such that, for any covering space Z of X in which the lifting B of A has no noncompact connected analytic subsets of pure dimension q with only compact irreducible components, there exists a smooth exhaustion function on Z which is strongly q-convex on the lifting of U outside a uniform neighborhood of the q-dimensional compact irreducible components B.
dc.identifierhttps://arxiv.org/abs/0705.3051
dc.identifierhttp://arxiv.org/abs/0705.3051
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129335
dc.subjectComplex Variables
dc.subject32E40
dc.titleStrong q-convexity in uniform neighborhoods of subvarieties in coverings of complex spaces
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