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arxiv: 1501.00741 · v1 · pith:H4SOO2TUnew · submitted 2015-01-05 · 🧮 math.AG

Kodaira vanishing theorem for log-canonical and semi-log-canonical pairs

classification 🧮 math.AG
keywords pairssemi-log-canonicaltheoremvanishingkodairalog-canonicalgiveprove
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We prove the Kodaira vanishing theorem for log-canonical and semi-log-canonical pairs. We also give a relative vanishing theorem of Reid--Fukuda type for semi-log-canonical pairs.

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