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 dimens...

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Auteur principal:	Aguiló Vidal,B.
Langue:	English
Publié:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2021
Sujets:	Abelian varieties dihedral group free action
Accès en ligne:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462021000200239
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spelling	oai:scielo:S0719-064620210002002392021-08-18Free dihedral actions on abelian varietiesAguiló Vidal,B. Abelian varieties dihedral group free action 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.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.23 n.2 20212021-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462021000200239en10.4067/S0719-06462021000200239
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Abelian varieties dihedral group free action
spellingShingle	Abelian varieties dihedral group free action Aguiló Vidal,B. Free dihedral actions on abelian varieties
description	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.
author	Aguiló Vidal,B.
author_facet	Aguiló Vidal,B.
author_sort	Aguiló Vidal,B.
title	Free dihedral actions on abelian varieties
title_short	Free dihedral actions on abelian varieties
title_full	Free dihedral actions on abelian varieties
title_fullStr	Free dihedral actions on abelian varieties
title_full_unstemmed	Free dihedral actions on abelian varieties
title_sort	free dihedral actions on abelian varieties
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2021
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462021000200239
work_keys_str_mv	AT aguilovidalb freedihedralactionsonabelianvarieties
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Free dihedral actions on abelian varieties

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