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 $\le 3$.

25 pages

References in corpus (2)

• Effective generation for foliated surfaces: results and applications
• On global ACC for foliated threefolds

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