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arXiv · 0901.0409

Non-vanishing theorem for log canonical pairs

Osamu Fujino
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Abstract

We obtain a correct generalization of Shokurov's non-vanishing theorem for log canonical pairs. It implies the base point free theorem for log canonical pairs. We also prove the rationality theorem for log canonical pairs. As a corollary, we obtain the cone theorem for log canonical pairs. We do not need Ambro's theory of quasi-log varieties.

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Osamu Fujino. 2009-12-01. Non-vanishing theorem for log canonical pairs. https://arxiv.org/abs/0901.0409

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