English

On the parity of ranks of Selmer groups II

Number Theory 2009-11-07 v1

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.

Keywords

Cite

@article{arxiv.math/0101271,
  title  = {On the parity of ranks of Selmer groups II},
  author = {Jan Nekovar},
  journal= {arXiv preprint arXiv:math/0101271},
  year   = {2009}
}