Orbifold Classifying Spaces and Quotients of complex Tori

In this paper we characterize the quotients $X=T\mathrm{/}G$ of a complex torus $T$ by the action of a finite group $G$ as the Kähler orbifold classifying spaces of the even Euclidean cristallographic groups $\mathrm{\Gamma }$, and we prove other similar and stronger characterizations.