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Relations between two log minimal models of log canonical pairs
International Journal of Mathematics ( IF 0.6 ) Pub Date : 2020-08-25 , DOI: 10.1142/s0129167x20501037
Kenta Hashizume 1
Affiliation  

We study relations between two log minimal models of a fixed lc pair. For any two log minimal models of an lc pair constructed with log MMP, we prove that there are small birational models of the log minimal models which can be connected by a sequence of flops, and the two log minimal models share some properties. We also give examples of two log minimal models of an lc pair which have different properties.

中文翻译:

对数规范对的两个对数最小模型之间的关系

我们研究固定 lc 对的两个对数最小模型之间的关系。对于用 log MMP 构建的 lc 对的任意两个 log 最小模型,我们证明了 log 最小模型的小型双有理模型可以通过一系列 flop 连接,并且两个 log 最小模型共享一些属性。我们还给出了具有不同属性的 lc 对的两个对数最小模型的示例。
更新日期:2020-08-25
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