Torsion dans un produit de courbes elliptiques

dc.creatorHindry, Marc
dc.creatorRatazzi, Nicolas
dc.date2008-04-18
dc.date.accessioned2026-07-07T09:33:28Z
dc.date.available2026-07-07T09:33:28Z
dc.descriptionLet $A$ be an abelian variety defined over a number field $K$, the number of torsion points rational over a finite extension $L$ is bounded polynomially in terms of the degree $[L:K]$. We formulate a question suggesting the optimal exponent for this bound in terms of the dimension of the Mumford-Tate groups of the abelian subvarieties of $A$; we study the behaviour under product and then give a positive answer to our question when $A$ is the product of elliptic curves.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/0804.3031
dc.identifierhttp://arxiv.org/abs/0804.3031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159145
dc.subjectNumber Theory
dc.titleTorsion dans un produit de courbes elliptiques
dc.typetext

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