The Kawamata-Morrison Cone Conjecture for Generalized Hyperelliptic Variety

Published 19 Mar 2024 in math.AG | (2403.13156v1)

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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