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On Harder-Narasimhan reductions for Higgs principal bundles

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Abstract

The existence and uniqueness of H-N reduction for the Higgs principal bundles over nonsingular projective variety is shown. We also extend the notion of H-N reduction for (Γ,G)-bundles and ramifiedG-bundles over a smooth curve.

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Authors and Affiliations

  1. Institute of Mathematical Sciences, CIT Campus, Taramani, 600 113, Chennai, India

    Arijit Dey & R. Parthasarathi

  2. Chennai Mathematical Institute, 92, GN Chetty Road, T. Nagar, 600 017, Chennai, India

    R. Parthasarathi

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  1. Arijit Dey
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  2. R. Parthasarathi
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Correspondence to Arijit Dey.

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Dey, A., Parthasarathi, R. On Harder-Narasimhan reductions for Higgs principal bundles. Proc. Indian Acad. Sci. (Math. Sci.) 115, 127–146 (2005). https://doi.org/10.1007/BF02829622

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  • DOI: https://doi.org/10.1007/BF02829622

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