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On the parity of ranks of Selmer groups IV. With an appendix by Jean-Pierre Wintenberger

Published online by Cambridge University Press:  03 December 2009

Jan Nekovář*
Affiliation:
Institut de Mathématiques de Jussieu, Université Pierre et Marie Curie (Paris 6), Théorie des Nombres (Case 247), 4, place Jussieu, F-75252 Paris cedex 05, France (email: nekovar@math.jussieu.fr)
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Abstract

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We prove the parity conjecture for the ranks of p-power Selmer groups (p⁄=2) of a large class of elliptic curves defined over totally real number fields.

Type
Research Article
Copyright
Copyright © Foundation Compositio Mathematica 2009

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