On torsion sections of elliptic fibrations

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dc.creatorWong, Siman
dc.date2005-09-07
dc.date.accessioned2026-07-07T05:23:02Z
dc.date.available2026-07-07T05:23:02Z
dc.descriptionLet E be an elliptic curve over the function field Q(t). Suppose that for every number field L\not=Q and every element tau\in L such that the specialization E_tau is smooth, the curve E_tau has a non-trivial torsion point over L. We show that E has a non-trivial torsion point over Q(t). This provides evidence in support of a question of Graber-Harris-Mazur-Starr on rational pseudo-sections of arithmetic surjective morphisms.
dc.identifierhttps://arxiv.org/abs/math/0509168
dc.identifierhttp://arxiv.org/abs/math/0509168
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76286
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11G35
dc.titleOn torsion sections of elliptic fibrations
dc.typetext

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