A Kawamata-Viehweg vanishing theorem on compact Kähler manifolds.
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Publication:1777999
DOI10.4310/JDG/1090426678zbMATH Open1077.32504arXivmath/0208021OpenAlexW2018087833WikidataQ115201194 ScholiaQ115201194MaRDI QIDQ1777999
Author name not available (Why is that?)
Publication date: 26 May 2005
Published in: (Search for Journal in Brave)
Abstract: We 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.
Full work available at URL: https://arxiv.org/abs/math/0208021
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