Numerically effectiveness and principal bundles on Kahler manifolds

Biswas, Indranil ; Schumacher, Georg (2008) Numerically effectiveness and principal bundles on Kahler manifolds Annals of Global Analysis and Geometry, 34 (2). pp. 153-165. ISSN 0232-704X

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Official URL: http://www.springerlink.com/index/e7qp1tv281g44239...

Related URL: http://dx.doi.org/10.1007/s10455-007-9099-z

Abstract

Let EG 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 EG /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.

Item Type:Article
Source:Copyright of this article belongs to Springer-Verlag.
Keywords:Numerically Effectiveness; Kahler Manifold; Principal Bundle
ID Code:3446
Deposited On:11 Oct 2010 10:00
Last Modified:11 Oct 2010 10:00

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