Abelian Varieties with Quaternion Multiplication

Simple item page
dc.creatorDonagi, Ron
dc.creatorLivné, Ron
dc.date2005-07-23
dc.date2005-12-02
dc.date.accessioned2026-07-07T06:42:40Z
dc.date.available2026-07-07T06:42:40Z
dc.descriptionIn this article we use a Prym construction to study low dimensional abelian varieties with an action of the quaternion group. In special cases we describe the Shimura variety parameterizing such abelian varieties, as well as a map to this Shimura variety from a natural parameter space of quaternionic abelian varieties. Our description is based on the moduli of cubic threefolds with nine nodes, which we study in some detail.
dc.description34 pages. An appendix added for the new version
dc.identifierhttps://arxiv.org/abs/math/0507493
dc.identifierhttp://arxiv.org/abs/math/0507493
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102130
dc.subjectAlgebraic Geometry
dc.subject14H30, 14H37, 14H40, 14J30, 14K30, 14N20
dc.titleAbelian Varieties with Quaternion Multiplication
dc.typetext

Files

Collections

arXiv