Boundedness in general type MMP
Jingjun Han, Lu Qi, Ziquan Zhuang
Published: 2025/6/25
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.