Non-elliptic Shimura curves of genus one

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dc.creatorGonzalez, Josep
dc.creatorRotger, Victor
dc.date2006-12-23
dc.date2008-04-25
dc.date.accessioned2026-07-07T09:35:05Z
dc.date.available2026-07-07T09:35:05Z
dc.descriptionWe present explicit models for non-elliptic genus one Shimura curves X_0(D, N) with Gamma_0(N)-level structure arising from an indefinite quaternion algebra of reduced discriminant D, and Atkin-Lehner quotients of them. In addition, we discuss and extend Jordan's work in his Ph. D Thesis on points with complex multiplication on Shimura curves.
dc.descriptionMinor correction in Corollary 5.13 and reference updated
dc.identifierhttps://arxiv.org/abs/math/0612732
dc.identifierhttp://arxiv.org/abs/math/0612732
dc.identifierJournal Math. Soc. Japan 58:4 (2006), 927-948
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159716
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11G18, 14G35
dc.titleNon-elliptic Shimura curves of genus one
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