MMP for generalized foliated threefolds of rank one
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909915158675456 |
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| author | Li, Mengchu |
| author_facet | Li, Mengchu |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_23708 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | MMP for generalized foliated threefolds of rank one Li, Mengchu Algebraic Geometry Dynamical Systems 14E30, 37F75 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. |
| title | MMP for generalized foliated threefolds of rank one |
| topic | Algebraic Geometry Dynamical Systems 14E30, 37F75 |
| url | https://arxiv.org/abs/2506.23708 |