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Hermitian-Einstein Inequalities and Harder-Narasimhan Filtration

Steven B. Bradlow
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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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Steven B. Bradlow. 1995-06-05. Hermitian-Einstein Inequalities and Harder-Narasimhan Filtration. https://arxiv.org/abs/alg-geom/9506008

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