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

Yu. G. Prokhorov·V. V. Shokurov
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Abstract

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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Yu. G. Prokhorov, V. V. Shokurov. 2007-10-31. Toward the second main theorem on complements: from local to global. https://arxiv.org/abs/math/0606242

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