Numerical dimension and a Kawamata-Viehweg-Nadel type vanishing theorem on compact Kähler manifolds
Résumé
Let $X$ be a compact Kähler manifold and let $(L, \varphi)$ be a pseudo-effective line bundle on $X$. We first define a notion of numerical dimension of pseudo-effective line bundles with singular metrics, and then discuss the properties of this type numerical dimension. We finally prove a very general Kawamata-Viehweg-Nadel type vanishing theorem on an arbitrary compact Kähler manifold.
Origine : Fichiers produits par l'(les) auteur(s)
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