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arXiv · 2506.20183

Boundedness in general type MMP

Jingjun Han·Lu Qi·Ziquan Zhuang
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Abstract

We show that in any sequence of a general type MMP, the minimal log discrepancy of singularities takes at most finitely many values, and the fibers of all the extremal contractions and flips belong to a bounded family. A key ingredient in the proof is an analysis of the behavior of local volumes in the MMP.

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Jingjun Han, Lu Qi, Ziquan Zhuang. 2025-06-25. Boundedness in general type MMP. https://arxiv.org/abs/2506.20183

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