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.
The Kawamata-Morrison Cone Conjecture for Generalized Hyperelliptic Variety / M. Monti, A. Quedo. - (2024 Mar 19). [10.48550/arXiv.2403.13156]
The Kawamata-Morrison Cone Conjecture for Generalized Hyperelliptic Variety
M. MontiPrimo
;
2024
Abstract
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.
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