English

ACC for foliated log canonical thresholds

Algebraic Geometry 2025-11-13 v4

Abstract

It is known that the set of log canonical thresholds (lcts) on any varieties with fixed dimension satisfies the ascending chain condition. Inspired by the foliated minimal model program, it is intriguing to study the foliated version of lcts and ask whether they have the similar property. We give an affirmative answer in the case of surfaces and threefolds.

Keywords

Cite

@article{arxiv.2202.11346,
  title  = {ACC for foliated log canonical thresholds},
  author = {Yen-An Chen},
  journal= {arXiv preprint arXiv:2202.11346},
  year   = {2025}
}

Comments

21 pages. To appear in the journal "Algebraic Geometry."

R2 v1 2026-06-24T09:50:45.111Z