On the parity of ranks of Selmer groups II

Abstract

This paper is the same as ANT-0265, but with a few minor mistakes corrected. Let E be an elliptic curve over Q with good ordinary reduction at a prime p. We show that the parity of the (co)-rank of the p-Selmer group of E is as predicted by the conjecture of Birch and Swinnerton-Dyer.

References in corpus (1)

• On the parity of ranks of Selmer groups II

Cited by in corpus (9)

• Regulator constants and the parity conjecture
• On the parity of ranks of Selmer groups II
• Root numbers and parity of ranks of elliptic curves
• On the non-triviality of the $p$-adic Abel-Jacobi image of generalised Heegner cycles modulo $p$, II: Shimura curves
• Density of rational points on isotrivial rational elliptic surfaces
• Root numbers and parity of local Iwasawa invariants
• The 2-parity conjecture for elliptic curves with isomorphic 2-torsion
• Parity conjectures for elliptic curves over global fields of positive characteristic
• Iwasawa theory of Heegner points on abelian varieties of GL_2 type