Boundedness in general type MMP
Algebraic Geometry
2025-09-03 v2
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.
Cite
@article{arxiv.2506.20183,
title = {Boundedness in general type MMP},
author = {Jingjun Han and Lu Qi and Ziquan Zhuang},
journal= {arXiv preprint arXiv:2506.20183},
year = {2025}
}
Comments
45 pages. First part of a two-paper replacement of the original submission. Comments are welcome!