Yang-Mills equation for stable Higgs sheaves

Details Yang-Mills equation for stable Higgs sheaves Yang-Mills equation for stable Higgs sheaves

2008-03-31

arxiv.org/abs/0803.4435v1

Int.J.Math.20:541-556,2009

Mathematics

Algebraic Geometry

Scientific paper

10.1142/S0129167X09005406

We establish a Kobayashi-Hitchin correspondence for the stable Higgs sheaves
on a compact Kaehler manifold. Using it, we also obtain a Kobayashi-Hitchin
correspondence for the stable Higgs G-sheaves, where G is any complex reductive
linear algebraic group.

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