Numerically effectiveness and principal bundles on Kahler manifolds

被引：2

作者：

Biswas, Indranil ^{[1
]}

Schumacher, Georg ^{[2
]}

机构：

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

[2] Univ Marburg, Fachbereich Math & Informat, D-35032 Marburg, Germany

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2008年 / 34卷 / 02期

关键词：

numerically effectiveness; Kahler manifold; principal bundle;

D O I：

10.1007/s10455-007-9099-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let E-G be a holomorphic principal G-bundle over a compact connected Kahler manifold, where G is a connected complex reductive linear algebraic group. Consider a line bundle over E-G/P corresponding to a character of P, where P is a parabolic subgroup of G. We give conditions for this holomorphic line bundle to be numerically effective.

引用

页码：153 / 165

页数：13

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