Free dihedral actions on abelian varieties

Bruno Aguiló Vidal

doi:10.4067/S0719-06462021000200239

DOI:

https://doi.org/10.4067/S0719-06462021000200239

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 \(D_4\) in dimension three.

Keywords

Abelian varieties , dihedral group , free action

Bruno Aguiló Vidal Departamento de Matemáticas, Facultad de Ciencias, Universidad de Chile, Las Palmeras 3425, Ñuñoa, Santiago, Chile.

Pages: 239–244
Date Published: 2021-08-01
Vol. 23 No. 2 (2021)

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