arXiv:1011.2991 [math.NT]AbstractReferencesReviewsResources
Parity conjectures for elliptic curves over global fields of positive characteristic
Fabien Trihan, Christian Wuthrich
Published 2010-11-12, updated 2010-12-14Version 2
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 $\ell \neq p$.
Comments: to be published in Compositio Mathematica. This version differs slightly from the one to be published
Categories: math.NT
Tags: journal article
Related articles: Most relevant | Search more
Canonical heights on elliptic curves in characteristic p
arXiv:1101.1939 [math.NT] (Published 2011-01-10)
Park City lectures on elliptic curves over function fields
On the behaviour of root numbers in families of elliptic curves