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arXiv · 2011.13673

On Junyan Cao's vanishing theorem for pseudoeffective line bundles

Xiaojun Wu
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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.

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Xiaojun Wu. 2020-11-27. On Junyan Cao's vanishing theorem for pseudoeffective line bundles. https://arxiv.org/abs/2011.13673

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