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arxiv: 0803.4435 · v1 · submitted 2008-03-31 · 🧮 math.AG · math.DG

Yang-Mills equation for stable Higgs sheaves

classification 🧮 math.AG math.DG
keywords higgsstablecorrespondencekobayashi-hitchinsheavesalgebraiccompactcomplex
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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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