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The 2-Selmer rank of an abelian variety is the rank of its 2-Selmer group.

The difference between the 2-Selmer rank and the 2-rank of the torsion subgroup is an upper bound on the rank of the Mordell-Weil group. This bound is tight if and only if the 2-part of the Tate-Shafarevich group is trivial

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  • Review status: reviewed
  • Last edited by Andrew Sutherland on 2020-10-09 17:11:27
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