Terminal 3-fold Divisorial Contractions of a Surface to a Curve I
Terminal 3-fold Divisorial Contractions of a Surface to a Curve I
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曲面到曲线 I 的终末 3 重除数收缩
DOI：
10.1023/b:comp.0000018135.42305.7a
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发表时间：
2001
影响因子：
1.8
通讯作者：
Nikolaos V. Tziolas
中科院分区：
文献类型：
--
作者：
Nikolaos V. Tziolas
设Γ ∈ X是一条沿着Γ只有指数为1的终端奇点的3重曲线。本文研究了将不可约曲面E收缩到Γ的极值端点整除收缩E <$Y→Γ <$X的存在性。我们考虑关于X通过Γ的一般超曲面截面S的奇点的情形。我们完全分类了当S是Ai，i ≤ 3，且对任意n有D2 n时的情形。
Let Γ ⊂ X be a smooth curve on a 3-fold which has only index 1 terminal singularities along Γ. In this paper we investigate the existence of extremal terminal divisorial contractions E ⊂ Y→Γ ⊂ X, contracting an irreducible surface E to Γ. We consider cases with respect to the singularities of the general hypersurface section S of X through Γ. We completely classify the cases when S is Ai, i ≤ 3, and D2n for any n.