English

Uniform rational polytopes of foliated threefolds and the global ACC

Algebraic Geometry 2024-06-06 v2

Abstract

In this paper, we show the existence of uniform rational lc polytopes for foliations with functional boundaries in dimension 3\leq 3. As an application, we prove the global ACC for foliated threefolds with arbitrary DCC coefficients. We also provide applications on the accumulation points of lc thresholds of foliations in dimension 3\leq 3.

Keywords

Cite

@article{arxiv.2306.00330,
  title  = {Uniform rational polytopes of foliated threefolds and the global ACC},
  author = {Jihao Liu and Fanjun Meng and Lingyao Xie},
  journal= {arXiv preprint arXiv:2306.00330},
  year   = {2024}
}

Comments

25 pages