The Kawamata-Morrison Cone Conjecture for Generalized Hyperelliptic Variety
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909143015620608 |
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| author | Monti, Martina Quedo, Ana |
| author_facet | Monti, Martina Quedo, Ana |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_13156 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Kawamata-Morrison Cone Conjecture for Generalized Hyperelliptic Variety Monti, Martina Quedo, Ana Algebraic Geometry 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. |
| title | The Kawamata-Morrison Cone Conjecture for Generalized Hyperelliptic Variety |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2403.13156 |