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October 8, 2025Open Access

Boundedness of complements for fibered Fano threefolds in positive characteristic

Key Points

This paper proves Shokurov's conjecture for Fano type threefold pairs with fibration structures.
The conjecture is demonstrated under the condition that the term is nef and not big.
The findings are particularly relevant in contexts of positive characteristic.
Implications of the results extend to coercive limitations for algebraic structures in geometry.

Abstract

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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Cite This Study

X. S. Jiang (Sat,) studied this question.

synapsesocial.com/papers/68e6d7971ffa7aa7d63d1819 https://doi.org/https://doi.org/10.48550/arxiv.2506.00553

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