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Parity conjectures for elliptic curves over global fields of positive characteristic

Published online by Cambridge University Press:  04 May 2011

Fabien Trihan
School of Mathematical Sciences, University Nottingham, Nottingham NG7 2RD, UK (email:
Christian Wuthrich
School of Mathematical Sciences, University Nottingham, Nottingham NG7 2RD, UK (email:
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We prove the p-parity conjecture for elliptic curves over global fields of characteristic p>3. We also present partial results on the -parity conjecture for primes p.

Research Article
Copyright © Foundation Compositio Mathematica 2011


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