Uniform rational polytopes of foliated threefolds and the global ACC

Author:

Jihao Liu, Fanjun Meng, Lingyao Xie

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG)

journal:

date:

2023-05-31 16:00:00

Abstract

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

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