Torsion bounds for elliptic curves and Drinfeld modules

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dc.creatorBreuer, Florian
dc.date2008-10-17
dc.date.accessioned2026-07-07T10:10:59Z
dc.date.available2026-07-07T10:10:59Z
dc.descriptionWe derive asymptotically optimal upper bounds on the number of L-rational torsion points on a given elliptic curve or Drinfeld module defined over a finitely generated field K, as a function of the degree [L:K]. Our main tool is the adelic openness of the image of Galois representations attached to elliptic curves and Drinfeld modules, due to Serre and Pink-Ruetsche, respectively. Our approach is to prove a general result for certain Galois modules, which applies simultaneously to elliptic curves and to Drinfeld modules.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0810.3147
dc.identifierhttp://arxiv.org/abs/0810.3147
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171755
dc.subjectNumber Theory
dc.subject11G05; 11G09
dc.titleTorsion bounds for elliptic curves and Drinfeld modules
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