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arXiv · 2011.14896

Remark on nefness in higher codimension

Xiaojun Wu
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Abstract

In this work, following the fundamental work of Boucksom we construct the nef cone of a compact complex manifold in higher codimension and give explicit examples where these cones are different. In the third section, we give two versions of Kawamata-Viehweg vanishing theorems in terms of nefness in higher codimension and numerical dimensions. We also show by examples the optimality of the divisoral Zariski decomposition defined by Boucksom.

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Xiaojun Wu. 2020-11-27. Remark on nefness in higher codimension. https://arxiv.org/abs/2011.14896

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