Free dihedral actions on abelian varieties

ABSTRACT 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 D4 in dimension three.

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Bibliographic Details
Main Author: Aguiló Vidal,B.
Format: Digital revista
Language:English
Published: Universidad de La Frontera. Departamento de Matemática y Estadística. 2021
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462021000200239
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