The Kawamata-Morrison Cone Conjecture for Generalized Hyperelliptic Variety
Algebraic Geometry
2024-03-21 v1
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.
Keywords
Cite
@article{arxiv.2403.13156,
title = {The Kawamata-Morrison Cone Conjecture for Generalized Hyperelliptic Variety},
author = {Martina Monti and Ana Quedo},
journal= {arXiv preprint arXiv:2403.13156},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:1008.4509 by other authors