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The Miyaoka-Yau inequality for minimal Kähler klt spaces
Let $X$ be a compact Kähler space with quotient singularities in codimension $2$. In terms of orbifold Chern classes, we prove a generalized Bogomolov-Gieseker inequality for a reflexive coherent sheaf $\mathcal{E}_X$ on $X$ equipped with a Higgs field $θ_{X_{reg}}$ defined on the regular locus of $
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