Proving boundedness of complements for Fano type threefold pairs in positive characteristic, indicating significant implications for algebraic geometry.
In this paper, we prove Shokurov's conjecture on boundedness of complements for Fano type threefold pairs $(X,B)$ with fibration structures in large characteristics. In particular, we prove the conjecture when -(KX+B)≡ 0 is nef and not big in large characteristics.
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X. S. Jiang (2025) studied this question.
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