A valuative approach to the anticanonical minimal model program
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915346838978560 |
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| author | Choi, Sung Rak Jang, Sungwook Kim, Donghyeon Lee, Dae-Won |
| author_facet | Choi, Sung Rak Jang, Sungwook Kim, Donghyeon Lee, Dae-Won |
| contents | In this paper, we show that the log canonical threshold of a potentially klt triple can be computed by a quasi-monomial valuation. The notion of potential triples provides a larger and more flexible framework to work with than that of generalized pairs. Our main result can be considered as an extension to the result of Xu on klt pairs. As an application of the main result, we show that we can run the MMP on any potentially klt triples and $-(K_X+Δ)$-MMP on the potentially klt pairs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_13637 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A valuative approach to the anticanonical minimal model program Choi, Sung Rak Jang, Sungwook Kim, Donghyeon Lee, Dae-Won Algebraic Geometry 14B05, 14E05, 14E30, 14F18 In this paper, we show that the log canonical threshold of a potentially klt triple can be computed by a quasi-monomial valuation. The notion of potential triples provides a larger and more flexible framework to work with than that of generalized pairs. Our main result can be considered as an extension to the result of Xu on klt pairs. As an application of the main result, we show that we can run the MMP on any potentially klt triples and $-(K_X+Δ)$-MMP on the potentially klt pairs. |
| title | A valuative approach to the anticanonical minimal model program |
| topic | Algebraic Geometry 14B05, 14E05, 14E30, 14F18 |
| url | https://arxiv.org/abs/2506.13637 |