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arXiv · 2202.11256

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

Junpeng Jiao·Jihao Liu·Lingyao Xie
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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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Junpeng Jiao, Jihao Liu, Lingyao Xie. 2022-02-23. On generalized lc pairs with $\mathrm{\textbf b}$-log abundant nef part. https://arxiv.org/abs/2202.11256

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