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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2306.00330 |
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| _version_ | 1866916274034966528 |
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| author | Liu, Jihao Meng, Fanjun Xie, Lingyao |
| author_facet | Liu, Jihao Meng, Fanjun Xie, Lingyao |
| contents | 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 $\leq 3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_00330 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Uniform rational polytopes of foliated threefolds and the global ACC Liu, Jihao Meng, Fanjun Xie, Lingyao Algebraic Geometry 14E30, 37F75 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 $\leq 3$. |
| title | Uniform rational polytopes of foliated threefolds and the global ACC |
| topic | Algebraic Geometry 14E30, 37F75 |
| url | https://arxiv.org/abs/2306.00330 |