Period and index of genus one curves over number fields

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dc.creatorSharif, Shahed
dc.date2008-10-31
dc.date.accessioned2026-07-07T10:14:38Z
dc.date.available2026-07-07T10:14:38Z
dc.descriptionThe period of a curve is the smallest positive degree of Galois-invariant divisor classes. The index is the smallest positive degree of rational divisors. We construct examples of genus one curves with prescribed period and index over certain number fields.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0810.5760
dc.identifierhttp://arxiv.org/abs/0810.5760
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172948
dc.subjectNumber Theory
dc.subject11G05
dc.titlePeriod and index of genus one curves over number fields
dc.typetext

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