Boundedness in general type MMP
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866915472092430336 |
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| author | Han, Jingjun Qi, Lu Zhuang, Ziquan |
| author_facet | Han, Jingjun Qi, Lu Zhuang, Ziquan |
| contents | We show that in any sequence of a general type MMP, the minimal log discrepancy of singularities takes at most finitely many values, and the fibers of all the extremal contractions and flips belong to a bounded family. A key ingredient in the proof is an analysis of the behavior of local volumes in the MMP. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_20183 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Boundedness in general type MMP Han, Jingjun Qi, Lu Zhuang, Ziquan Algebraic Geometry We show that in any sequence of a general type MMP, the minimal log discrepancy of singularities takes at most finitely many values, and the fibers of all the extremal contractions and flips belong to a bounded family. A key ingredient in the proof is an analysis of the behavior of local volumes in the MMP. |
| title | Boundedness in general type MMP |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2506.20183 |