Teichmüller spaces of Generalized Hyperelliptic Manifolds

Abstract

In this paper we achieve a description of the connected components of Teichmüller space corresponding to Generalized Hyperelliptic Manifolds $X$. These are the quotients $X=T/G$ of a complex torus $T$ by the free action of a finite group $G$, and they are also the Kähler classifying spaces for a certain class of Euclidean cristallographic groups $\Gamma$, the ones which are torsion free and even.

Final version, appeared in the Proceedings of the Conference `Complex and Symplectic Geometry' (Cortona, June 2016), published by Springer Lecture Notes in Mathematics series of INdAM