A note on the rational points of X_0^+(N)

dc.creatorCastano-Bernard, Carlos
dc.date2005-08-06
dc.date2006-07-22
dc.date.accessioned2026-07-07T06:42:45Z
dc.date.available2026-07-07T06:42:45Z
dc.descriptionLet C be the image of a canonical embedding C of the Atkin-Lehner quotient X+0(N) associated to the Fricke involution wN. In this note we exhibit some relations among the rational points of C. For each g = 3 (resp. the first g = 4) curve C we found that there are one or more lines (resp. planes) in projectie space whose intersection with C consists entirely of rational Heegner points or the cusp point, where N is prime. We also discuss an explanation of the first non-hyperelliptic exceptional rational point.
dc.description11 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/math/0508115
dc.identifierhttp://arxiv.org/abs/math/0508115
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102156
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11G18; 14G05
dc.titleA note on the rational points of X_0^+(N)
dc.typetext

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