Uniform rational polytopes of foliated threefolds and the global ACC

Abstract

In this paper, we show the existence of uniform rational lc polytopes for foliations with functional boundaries in dimension $\le 3$. 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 $\le 3$.

arXiv comment25 pages

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Cited by in corpus (2)

• Minimal model program for algebraically integrable foliations on klt varieties
• On the equivalence between the effective adjunction conjectures of Prokhorov-Shokurov and of Li