Orbifold Classifying Spaces and Quotients of complex Tori

Abstract

In this paper we characterize the quotients $X=T/G$ 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 $\Gamma$, and we prove other similar and stronger characterizations.

arXiv comment11 pages, submitted to Rendiconti Semin. Mat. Univ.Politecn. Torino, volume dedicated to the memory of Gianfranco Casnati