Jacobi sums, Fermat Jacobians, and ranks of abelian varieties over towers of function fields

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dc.creatorUlmer, Douglas
dc.date2006-09-26
dc.date.accessioned2026-07-07T07:25:15Z
dc.date.available2026-07-07T07:25:15Z
dc.descriptionOur goal in this note is to give a number of examples of abelian varieties over function fields k(t) which have bounded ranks in towers of extensions such as k(t^{1/d}) for varying d. Along the way we prove some new results on Fermat curves which may be of independent interest.
dc.identifierhttps://arxiv.org/abs/math/0609716
dc.identifierhttp://arxiv.org/abs/math/0609716
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116653
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject14G05, 11G40
dc.titleJacobi sums, Fermat Jacobians, and ranks of abelian varieties over towers of function fields
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