Numerical dimension and a Kawamata-Viehweg-Nadel type vanishing theorem on compact Kähler manifolds
نویسنده
چکیده
Let X be a compact Kähler manifold and let L be a pseudoeffective line bundle on X with singular metric φ. We first define a notion of numerical dimension of the pseudo-effective pair (L,φ) and then discuss the properties of it. We prove also a very general KawamataViehweg-Nadel type vanishing theorem on an arbitrary compact Kähler manifold.
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