The Kawamata-Morrison Cone Conjecture for Generalized Hyperelliptic Variety

A Generalized Hyperelliptic Variety (GHV) is the quotient of an abelian variety by a free action of a finite group which does not contain any translation. These varieties are natural generalizations of bi-elliptic surfaces. In this paper we prove the Kawamata-Morrison Cone Conjecture for these manifolds using the analogous results established by Prendergast-Smith for abelian varieties.
Comment: arXiv admin note: text overlap with arXiv:1008.4509 by other authors