Selmer groups and coupling; particular case of elliptic curves

  • Bernadette Perrin-Riou

Abstract

We give proofs of existence of alternating pairings on Selmer groups of pp-ordinary elliptic curves on a Zp2\Bbb Z_p^2-extension by using the Cassels-Tate-Flach pairings for twists of the pp-adic representation.