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On generalized lc pairs with $\mathrm{\textbf b}$-log abundant nef part

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arxiv 2202.11256 v2 pith:BPJDRXCQ submitted 2022-02-23 math.AG

Junpeng Jiao , Jihao Liu , Lingyao Xie This is my paper · ORCID
classification math.AG
keywords abundantconjecturegeneralizedmathrmpairspartstructuretextbf
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abstract

We study the behavior of generalized lc pairs with $\mathrm{\textbf b}$-log abundant nef part, a meticulously designed structure on algebraic varieties. We show that this structure is preserved under the canonical bundle formula and sub-adjunction formulas, and is also compatible with the non-vanishing conjecture and the abundance conjecture in the classical minimal model program.

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

    math.AG 2025-01 conditional novelty 6.0 of 10

    The paper establishes a canonical bundle formula for Fano-type threefold fibrations in large characteristic and proves effective birationality for strongly F-regular weak Fano varieties with bounded Gorenstein index.

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