Hermitian-Einstein Inequalities and Harder-Narasimhan Filtration

1995/06/05 by Steven B. Bradlow, Bradlow, Steven B.
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #alg-geom #math.AG

paper · pdf · doi:10.48550/arxiv.alg-geom/9506008

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arxiv created 1995/06/05 · arxiv updated 2009/11/30

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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