Parity conjectures for elliptic curves over global fields of positive characteristic

Details Parity conjectures for elliptic curves over global fields of positive characteristic Parity conjectures for elliptic curves over global fields of positive characteristic

2010-11-12

arxiv.org/abs/1011.2991v2

Mathematics

Number Theory

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

Scientific paper

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

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