2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/108831The 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 ramified G-bundles over a smooth curve.Algebraic GeometryOn Harder-Narasimhan reductions for Higgs principal bundlestext