On the canonical bundle formula and effective birationality for Fano varieties in char p>0

2025/01/21 by X. S. Jiang, Jiang, Xintong · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Meromorphic and Entire Functions #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2501.12041

Abstract

In this paper, we give some results on the birational geometry of varieties of Fano type and boundedness problems in positive characteristic, including a result ensuring that boundedness is invariant under normalizations, a canonical bundle formula for fibrations of Fano type which is easier to use, and the effective birationality of certain weak Fano varieties with good singularities, which is predicted by the BAB conjecture.

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• Boundedness of complements for fibered Fano threefolds in positive characteristic

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