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arXiv · 2506.23708

MMP for generalized foliated threefolds of rank one

Mengchu Li
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Abstract

We establish the minimal model program (MMP) for generalized foliated threefolds $(X, \mathcal{F}, B, \mathbf{M})$ of rank 1, extending the result of Cascini and Spicer in [CS25d]. As an application of the generalized foliated MMP, we prove a base-point-free theorem for foliated triples on threefolds. We also prove the ACC for log canonical thresholds for generalized foliated threefolds of rank 1.

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Mengchu Li. 2025-06-30. MMP for generalized foliated threefolds of rank one. https://arxiv.org/abs/2506.23708

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