Free dihedral actions on abelian varieties
We give a simple construction for hyperelliptic varieties, defined as the quotient of a complex torus by the action of a finite group $G$ that contains no translations and acts freely, with $G$ any dihedral group. This generalizes a construction given by Catanese and Demleitner for $D_4$ in dimensio...
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| Format: | Article |
| Language: | English |
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Universidad de La Frontera
2021-08-01
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| Series: | Cubo |
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| Online Access: | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2714/2092 |
| Summary: | We give a simple construction for hyperelliptic varieties, defined as the quotient of a complex torus by the action of a finite group $G$ that contains no translations and acts freely, with $G$ any dihedral group. This generalizes a construction given by Catanese and Demleitner for $D_4$ in dimension three. |
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| ISSN: | 0716-7776 0719-0646 |