Holomorphic Cartan geometries and rational curves

被引：8

作者：

Biswas, Indranil ^{[2
]}

McKay, Benjamin ^{[1
]}

机构：

[1] Univ Coll Cork, Cork, Ireland

[2] Tata Inst Fundamental Res, Homi Bhabha Rd, Mumbai 400005, Maharashtra, India

来源：

COMPLEX MANIFOLDS | 2016年 / 3卷 / 01期

基金：

爱尔兰科学基金会;

关键词：

D O I：

10.1515/coma-2016-0004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that any compact Kahler manifold bearing a holomorphic Cartan geometry contains a rational curve just when the Cartan geometry is inherited from a holomorphic Cartan geometry on a lower dimensional compact Kahler manifold. This shows that many complex manifolds admit no or few holomorphic Cartan geometries.

引用

页码：145 / 168

页数：24

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