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Authors
Affiliations
1 Institut De Mathematiques De Jussieu Universite Paris 7 Denis Diderot, Case Postale 7012, 175, Rue De Chevaleret F-75013, Paris, FR
2 Universite Paris-Sud, Departement De Mathematiques, Batiment 425, 91405 Orsay Cedex, FR
Source
Journal of the Ramanujan Mathematical Society, Vol 25, No 1 (2010), Pagination: 81-111
Abstract
Let 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.