MMP for generalized foliated threefolds of rank one
Abstract
We establish the minimal model program (MMP) for generalized foliated threefolds (X, F, B, 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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