MMP for generalized foliated threefolds of rank one

Mengchu Li

MMP for generalized foliated threefolds of rank one

Algebraic Geometry 2025-11-21 v2 Dynamical Systems

Authors: Mengchu Li

Abstract

We establish the minimal model program (MMP) for generalized foliated threefolds $(X, \mathcal{F}, B, \mathbf{M})$ of rank 1, extending the result of Cascini and Spicer in [CS25d]. As an application of the generalized foliated MMP, we prove a base-point-free theorem for foliated triples on threefolds. We also prove the ACC for log canonical thresholds for generalized foliated threefolds of rank 1.

Keywords

minimal model program foliated threefold rank one base-point-free theorem ACC for log canonical thresholds

Cite

@article{arxiv.2506.23708,
  title  = {MMP for generalized foliated threefolds of rank one},
  author = {Mengchu Li},
  journal= {arXiv preprint arXiv:2506.23708},
  year   = {2025}
}

Comments

32 pages. Expositions improved. Base-point-free theorem generalized to the real coefficient case. Final version. To appear in Manuscripta Math

MMP for generalized foliated threefolds of rank one

Abstract

Keywords

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