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Essential dimension of simple algebras in positive characteristic
Essential dimension simple algebras positive characteristic
2010/12/31
Let p be a prime integer, 1 ≤ s ≤ r integers, F a field of characteristic p.
Parity conjectures for elliptic curves over global fields of positive characteristic
Parity conjectures elliptic curves positive characteristic
2010/11/1
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 $\ell \neq p$.