BENOIT TRIHAN FABIEN

Let A/K be an elliptic curve over a global field of characteristic p &gt
0. We provide an example where the Pontrjagin dual of the Selmer group of A over a Γ := ℤp-extension L/K is not a torsion ℤp[[Γ]]-module and show that the Iwasawa Main Conje...

Let A/K be an abelian variety over a function field of characteristic p &gt
0 and let l be a prime number (l = p allowed). We prove the following: the parity of the corank rl of the l-discrete Selmer group of A/K coincides with the parity of the ...

We prove the p-parity conjecture for elliptic curves over global fields of characteristic p > 3. We also present partial results on the l-parity conjecture for primes l not equal p.

<title>Abstract</title>We study a (<italic>p</italic>-adic) geometric analogue for abelian varieties over a function field of characteristic <italic>p</italic> of the cyclotomic Iwasawa theory and the non-commutative Iwasawa theory for abelian var...