带缩放的对数最小模型程序中对数丰度对数典范对的有限性

Pub Date : 2020-05-25 DOI:10.1307/mmj/20226207

K. Hashizume

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引用次数: 7

摘要

我们研究了 lc 对的对数丰满性质与带缩放的 log MMP 终止之间的关系。我们证明，从投影 dlt 对开始的任何对数充裕 dlt 对的对数 MMP 与缩放都只包含有限个对数充裕 dlt 对。此外，我们还讨论了关于对数丰满 dlt 对的猜想，这些猜想意味着存在投影 klt 对的良好最小模型。

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Finiteness of log Abundant log Canonical Pairs in log Minimal Model Program with Scaling

We study relations between property of being log abundant for lc pairs and termination of log MMP with scaling. We prove that any log MMP with scaling of an ample divisor starting with a projective dlt pair contains only finitely many log abundant dlt pairs. In addition, we discuss conjectures on log abundant dlt pairs which imply existence of good minimal models for projective klt pairs.

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