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

IF 0.8 3区数学 Q2 MATHEMATICS

Michigan Mathematical Journal 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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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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来源期刊

Michigan Mathematical Journal 数学-数学

CiteScore

1.20

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Michigan Mathematical Journal is available electronically through the Project Euclid web site. The electronic version is available free to all paid subscribers. The Journal must receive from institutional subscribers a list of Internet Protocol Addresses in order for members of their institutions to have access to the online version of the Journal.