论文标题

日志丰富的日志典型对数的有限度在日志最小模型程序中,并带有缩放

Finiteness of log abundant log canonical pairs in log minimal model program with scaling

论文作者

Hashizume, Kenta

论文摘要

我们研究了对LC对的对数丰富的对数的属性与按比例缩放终止对数MMP的关系。我们证明,以弹射DLT对开始的任何具有足够除数缩放的日志MMP仅包含许多日志丰富的DLT对。我们还讨论了SLC对的日志MMP。

We study relations between the property of being log abundant for lc pairs and the 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. We also discuss log MMP for slc pairs.

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