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arxiv: 1202.4603 · v1 · pith:JTB6CKMPnew · submitted 2012-02-21 · 🧮 math.DG · math.AG

Existence of approximate Hermitian-Einstein structures on semistable principal bundles

classification 🧮 math.DG math.AG
keywords approximateconnectedhermitian-einsteinprincipalsemistablestructuresadmitsahler
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Let E_G be a principal G-bundle over a compact connected K\"ahler manifold, where G is a connected reductive complex linear algebraic group. We show that E_G is semistable if and only if it admits approximate Hermitian-Einstein structures.

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