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arXiv · 2506.00553

Boundedness of complements for fibered Fano threefolds in positive characteristic

Xintong Jiang
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Abstract

In this paper, we prove the canonical bundle formula for Fano type fibrations and 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 $-(K_X+B)\not\equiv 0$ is nef and not big in large characteristics.

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Xintong Jiang. 2025-11-10. Boundedness of complements for fibered Fano threefolds in positive characteristic. https://arxiv.org/abs/2506.00553

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