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arxiv: 2202.11256 · v2 · pith:BPJDRXCQnew · submitted 2022-02-23 · 🧮 math.AG

On generalized lc pairs with textbf b-log abundant nef part

classification 🧮 math.AG
keywords abundantconjecturegeneralizedmathrmpairspartstructuretextbf
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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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