On curves over finite fields with Jacobians of small exponent

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dc.creatorFord, Kevin
dc.creatorShparlinski, Igor
dc.date2006-07-19
dc.date2008-09-21
dc.date.accessioned2026-07-07T10:15:46Z
dc.date.available2026-07-07T10:15:46Z
dc.descriptionWe show that finite fields over which there is a curve of a given genus g with its Jacobian having a small exponent, are very rare. This extends a recent result of W. Duke in the case g=1. We also show when g=1 or g=2 that our bounds are best possible.
dc.descriptionV3. Small corrections; references updated
dc.identifierhttps://arxiv.org/abs/math/0607474
dc.identifierhttp://arxiv.org/abs/math/0607474
dc.identifierInt. J. Number Theory 4 (2008), 819-826
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173282
dc.subjectNumber Theory
dc.subject11G20; 14H40
dc.titleOn curves over finite fields with Jacobians of small exponent
dc.typetext

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