English

Boundedness of klt good minimal models

Algebraic Geometry 2025-08-19 v3

Abstract

For good minimal models with klt singularities, polarized by Weil divisors that are relatively nef and big over the bases of the Iitaka fibration, we show that, after fixing appropriate numerical invariants, they form a bounded family. As an application, we construct separated coarse moduli spaces for klt good minimal models polarized by line bundles.

Keywords

Cite

@article{arxiv.2312.03313,
  title  = {Boundedness of klt good minimal models},
  author = {Xiaowei Jiang},
  journal= {arXiv preprint arXiv:2312.03313},
  year   = {2025}
}

Comments

29 pages, 2 figures. v3: The paper has been completely rewritten, the moduli part moved to the appendix, title changed

R2 v1 2026-06-28T13:42:32.393Z