论文标题

在通用的LC对上,带有$ \ Mathrm {\ textbf b} $ - log log afliment nef part

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

论文作者

Jiao, Junpeng, Liu, Jihao, Xie, Lingyao

论文摘要

我们研究了具有$ \ mathrm {\ textbf b} $的广义LC对的行为 - log丰富的Nef部分,这是一种在代数品种上精心设计的结构。我们表明,这种结构保留在规范捆绑公式和子辅助公式下,也与经典最小模型程序中的非趋势猜想和丰度猜想兼容。

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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