A Kawamata-Viehweg Vanishing Theorem on compact Kahler manifolds

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dc.creatorDemailly, Jean-Pierre
dc.creatorPeternell, Thomas
dc.date2002-08-03
dc.date.accessioned2026-07-07T04:50:01Z
dc.date.available2026-07-07T04:50:01Z
dc.descriptionWe prove a Kawamata-Viehweg vanishing theorem on a normal compact Kahler space X: if L is a nef line bundle with numerical dimension at least equal to 2, then the q-th cohomology group of K_X+L vanishes for q at least equal to the dimension of X minus 1. As an application, a special case of the abundance conjecture for minimal Kahler threefolds is proven: if X is a minimal Kahler threefold (in the usual sense that K_X is nef), then the Kodaira dimension kappa(X) is nonnegative.
dc.description36 pages, Plain-TeX
dc.identifierhttps://arxiv.org/abs/math/0208021
dc.identifierhttp://arxiv.org/abs/math/0208021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64651
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subject14C30, 14F17, 14J40, 32C17, 32J25
dc.titleA Kawamata-Viehweg Vanishing Theorem on compact Kahler manifolds
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