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arxiv: math/0606242 · v4 · submitted 2006-06-12 · 🧮 math.AG

Toward the second main theorem on complements: from local to global

classification 🧮 math.AG
keywords complementsconjectureproveadjunctionborisov-alexeevboundednesscasesconjectures
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We prove the boundedness of complements modulo two conjectures: Borisov-Alexeev conjecture and effective adjunction for fibre spaces. We discuss the last conjecture and prove it in two particular cases.

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