All Title Author
Keywords Abstract

Mathematics  2012 

Numerical dimension and a Kawamata-Viehweg-Nadel type vanishing theorem on compact K?hler manifolds

DOI: 10.1112/S0010437X14007398

Full-Text   Cite this paper   Add to My Lib

Abstract:

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.

Full-Text

comments powered by Disqus