One-relator Kahler groups

被引：4

作者：

Biswas, Indranil ^{[1
]}

Mj, Mahan

机构：

[1] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India

来源：

GEOMETRY & TOPOLOGY | 2012年 / 16卷 / 04期

关键词：

CONVERGENCE GROUPS; 3-MANIFOLDS;

D O I：

10.2140/gt.2012.16.2171

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that a one-relator group G is Khler if and only if either G is finite cyclic or G is isomorphic to the fundamental group of a compact orbifold Riemann surface of genus g > 0 with at most one cone point of order n : < a(1), b(1), . . . , a(g), b(g) vertical bar ( Pi(g)(i = 1) [a(i),b(i)])(n)>.

引用

页码：2171 / 2186

页数：16

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