Uniform rational polytopes of foliated threefolds and the global ACC. (English) Zbl 07870419
Authors’ abstract: In this paper, we show the existence of uniform rational lc polytopes for foliations with functional boundaries in dimension \(\leq3\). 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 \(\leq3\).
Reviewer: Jin-Xing Cai (Beijing)
MSC:
| 14E30 | Minimal model program (Mori theory, extremal rays) |
| 37F75 | Dynamical aspects of holomorphic foliations and vector fields |
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