In this paper we characterize the compact orbifolds, quotients $ X = \mathcal{ D}/ \Gamma$ of a bounded symmetric domain $\mathcal{ D}$ with no higher dimensional ball factor by the action of a discontinuous group $\Gamma$, as those projective orbifolds with ample orbifold canonical divisor which admit a Mok curvature type tensor of orbifold type and satisfying certain other conditions implying the existence of a finite smooth covering.
Categories: math.AG math.CV