Parity conjectures for elliptic curves over global fields of positive characteristic
classification
🧮 math.NT
keywords
paritycharacteristicconjecturecurvesellipticfieldsglobalconjectures
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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 $\ell$-parity conjecture for primes $\ell \neq p$.
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