English

Parity conjectures for elliptic curves over global fields of positive characteristic

Number Theory 2019-02-20 v2

Abstract

We prove the pp-parity conjecture for elliptic curves over global fields of characteristic p>3p > 3. We also present partial results on the \ell-parity conjecture for primes p\ell \neq p.

Keywords

Cite

@article{arxiv.1011.2991,
  title  = {Parity conjectures for elliptic curves over global fields of positive characteristic},
  author = {Fabien Trihan and Christian Wuthrich},
  journal= {arXiv preprint arXiv:1011.2991},
  year   = {2019}
}

Comments

to be published in Compositio Mathematica. This version differs slightly from the one to be published