Hermitian-Einstein connections on polystable orthogonal and symplectic parabolic Higgs bundles
classification
🧮 math.DG
math.AG
keywords
parabolichermitian-einsteinhiggsorthogonalpolystablesymplecticadmitsbundle
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Let X be a smooth complex projective curve and S a finite subset of X. We show that an orthogonal or symplectic parabolic Higgs bundle on X with parabolic structure over S admits a Hermitian-Einstein connection if and only if it is polystable.
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