Non-vanishing theorem for log canonical pairs
classification
🧮 math.AG
keywords
canonicalpairstheoremnon-vanishingobtainambrobasecone
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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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