English

Effective termination of general type MMPs in dimension at most five

Algebraic Geometry 2025-09-03 v1

Abstract

We prove the effective termination of general type MMPs in dimension at most 55, and give explicit bounds (in terms of topological invariants and volume of divisors) on the number of steps in the MMP when the dimension is at most 44.

Keywords

Cite

@article{arxiv.2509.01501,
  title  = {Effective termination of general type MMPs in dimension at most five},
  author = {Jingjun Han and Jihao Liu and Ziquan Zhuang},
  journal= {arXiv preprint arXiv:2509.01501},
  year   = {2025}
}

Comments

26 pages. Second part of a two-paper replacement of arXiv:2506.20183. Comments are welcome!