电邮这篇文章 General elephants for threefold extremal contractions with one-dimensional fibres: exceptional case
- 作者: Mori S.1,2,3, Prokhorov Y.G.4
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隶属关系:
- Kyoto University Institute for Advanced Study
- Research Institute for Mathematical Sciences, Kyoto University
- Chubu University
- Steklov Mathematical Institute of Russian Academy of Sciences
- 期: 卷 212, 编号 3 (2021)
- 页面: 88-111
- 栏目: Articles
- URL: https://bakhtiniada.ru/0368-8666/article/view/142361
- DOI: https://doi.org/10.4213/sm9388
- ID: 142361
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详细
Let $(X, C)$ be a germ of a threefold $X$ with terminal singularities along a connected reduced complete curve $C$ with a contraction $f \colon (X, C) \to (Z, o)$ such that $C = f^{-1} (o)_{\mathrm{red}}$ and $-K_X$ is $f$-ample. Assume that each irreducible component of $C$ contains at most one point of index ${>2}$. We prove that a general member $D\in |{-}K_X|$ is a normal surface with Du Val singularities. Bibliography: 16 titles.
作者简介
Shigefumi Mori
Kyoto University Institute for Advanced Study; Research Institute for Mathematical Sciences, Kyoto University; Chubu University
Email: mori@kurims.kyoto-u.ac.jp
Yuri Prokhorov
Steklov Mathematical Institute of Russian Academy of Sciences
Email: prokhoro@mi-ras.ru
Doctor of physico-mathematical sciences, Professor
参考
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