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

2022/02/23 by Junpeng Jiao, Jihao Liu, Jiao, Junpeng +3
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #Polynomial and algebraic computation #math.AG #msc:14C20. #msc:14E05 #msc:14E30 #msc:14J17

paper · pdf · doi:10.48550/arxiv.2202.11256

20 pages, v2. Reference update

arxiv created 2022/02/24 · arxiv updated 2022/02/25

Abstract

We study the behavior of generalized lc pairs with \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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