Toward the classification of threefold extremal contractions with one-dimensional fibers
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916693381480448 |
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| author | Mori, Shigefumi Prokhorov, Yuri |
| author_facet | Mori, Shigefumi Prokhorov, Yuri |
| contents | An extremal curve germ is a germ of a threefold $X$ with terminal singularities along a connected reduced complete curve~$C$ such that there exists a $K_X$-negative contraction $f : X \to Z$ with~$C$ being a fiber. We give a rough classification of extremal curve germs with reducible central curve~$C$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_03165 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Toward the classification of threefold extremal contractions with one-dimensional fibers Mori, Shigefumi Prokhorov, Yuri Algebraic Geometry 14E30, 14J30, 14J17 An extremal curve germ is a germ of a threefold $X$ with terminal singularities along a connected reduced complete curve~$C$ such that there exists a $K_X$-negative contraction $f : X \to Z$ with~$C$ being a fiber. We give a rough classification of extremal curve germs with reducible central curve~$C$. |
| title | Toward the classification of threefold extremal contractions with one-dimensional fibers |
| topic | Algebraic Geometry 14E30, 14J30, 14J17 |
| url | https://arxiv.org/abs/2410.03165 |