Characterization of isolated complete intersection singularities with C*-action of dimension n ≥ 2 by means of geometric genus and irregularity

被引：0

作者：

Yau, Stephen ^{[1
]}

Zuo, Huaiqing ^{[2
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

[2] Tsinghua Univ, Ctr Math Sci, Beijing 100084, Peoples R China

来源：

COMMUNICATIONS IN ANALYSIS AND GEOMETRY | 2013年 / 21卷 / 03期

关键词：

SURFACE SINGULARITIES; ELLIPTIC SINGULARITIES; COHOMOLOGY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is well known that geometric genus p(g) and irregularity q are two important invariants for isolated singularities. In this paper, we give a formula relating p(g) and q for isolated singularities with C*-action in any dimension. We also give a simple characterization of the quasi-homogeneous isolated complete intersection singularities using p(g) and q. As a corollary, we prove that q is an invariant of topological type for two-dimensional weighted homogeneous hypersurface singularities.

引用

页码：509 / 526

页数：18

共 19 条

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