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Hermitian-Einstein Inequalities and Harder-Narasimhan Filtration

Steven B. Bradlow

alg-geomarXiv:alg-geom/9506008

Abstract

Unstable holomorphic bundles can be described algebraically by Harder-Narasimhan filtrations. In this note we show how such filtrations correspond to the existence of special metrics defined by Hermitian-Einstein inequalities.

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