Classification of 3-Dimensional Isolated Rational Hypersurface Singularities with $\c^*$-Action
Classification of 3-Dimensional Isolated Rational Hypersurface Singularities with $\c^*$-Action
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DOI：
10.1216/rmjm/1181069664
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发表时间：
2003-03
影响因子：
0.8
通讯作者：
S. Yau;Yung Yu
中科院分区：
文献类型：
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作者：
S. Yau;Yung Yu
在论文“Algebralization classification of rational CR structures on topological 5-sphere with transverse holomorphic S^1-action in C^4”（Yau and Yu，Math. Nachrichten 246-247（2002），207-233）中，我们给出了在C^4中具有transverse holomorphic S^1-action的拓扑5-sphere上的有理CR结构的代数分类.这里，紧致强伪凸CR流形X的代数分类意味着分类到代数等价，即大致到以X为边界的复解析簇V的正规化的同构。这个问题与研究3维孤立有理加权齐次超曲面奇点密切相关，这些超曲面的链同胚于S^5。为此，我们需要对具有C*-作用的三维孤立有理超曲面奇点进行分类。此列表仅在我们其中一个网站的主页上提供。由于有一个完整的清单，这种分类的愿望（参见。定理3.3），我们决定公布它，以方便读者。
In the paper "Algebraic classification of rational CR structures on topological 5-sphere with transversal holomorphic S^1-action in C^4" (Yau and Yu, Math. Nachrichten 246-247(2002), 207-233), we give algebraic classification of rational CR structures on the topological 5-sphere with transversal holomorphic S^1-action in C^4. Here, algebraic classification of compact strongly pseudoconvex CR manifolds X means classification up to algebraic equivalence, i.e. roughly up to isomorphism of the normalization of the complex analytic variety V which has X as boundary. The problem is intimately related to the study of 3-dimensional isolated rational weighted homogeneous hypersurface singularities with link homeomorphic to S^5. For this, we need the classification of 3-dimensional isolated rational hypersurface singularities with a C*-action. This list is only available at the homepage of one of us. Since there is a desire for a complete list of this classification (cf. Theorem 3.3), we decide to publish it for the convenience of readers.