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Boundedness of log terminal Fano pairs of bounded index

James McKernan
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Abstract

We prove a conjecture of Batryev which states that the family of all Fano varieties with kawamata log terminal singularities and fixed index, forms a bounded family.

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James McKernan. 2002-05-20. Boundedness of log terminal Fano pairs of bounded index. https://arxiv.org/abs/math/0205214

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