On Junyan Cao's vanishing theorem for pseudoeffective line bundles
Algebraic Geometry
2020-11-30 v1 Complex Variables
Abstract
Junyan Cao has obtained a very general vanishing theorem, valid on any compact K\"ahler manifold, for the cohomology groups with values in a pseudoeffective line bundle twisted by the associated multiplier ideal sheaf. In this note, we give a version of this result in terms of the numerical dimension of the line bundle, instead of the numerical dimension of a given singular metric, which can be smaller.
Cite
@article{arxiv.2011.13673,
title = {On Junyan Cao's vanishing theorem for pseudoeffective line bundles},
author = {Xiaojun Wu},
journal= {arXiv preprint arXiv:2011.13673},
year = {2020}
}
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8 pages