Proving the triviality of rational points on Atkin-Lehner quotients of Shimura curves

Simple item page
dc.creatorParent, Pierre
dc.creatorYafaev, Andrei
dc.date2007-07-09
dc.date.accessioned2026-07-07T08:14:48Z
dc.date.available2026-07-07T08:14:48Z
dc.descriptionIn this paper we give a method for studying global rational points on certain quotients of Shimura curves by Atkin-Lehner involutions. We obtain explicit conditions on such quotients for rational points to be ``trivial'' (coming from CM points only) and exhibit an explicit infinite family of such quotients satisfying these conditions.
dc.description25 pages. To appear in Mathematische Annalen
dc.identifierhttps://arxiv.org/abs/0707.1330
dc.identifierhttp://arxiv.org/abs/0707.1330
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133256
dc.subjectNumber Theory
dc.titleProving the triviality of rational points on Atkin-Lehner quotients of Shimura curves
dc.typetext

Files

Collections

arXiv