%0 Journal Article
%T Numerical dimension and a Kawamata-Viehweg-Nadel type vanishing theorem on compact K£¿hler manifolds
%A Junyan Cao
%J Mathematics
%D 2012
%I arXiv
%R 10.1112/S0010437X14007398
%X Let $X$ be a compact K\"ahler 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 K\"ahler manifold.
%U http://arxiv.org/abs/1210.5692v1