Ahmed Matar

collaborators

3 papers

math.NT2018

On the Lambda-cotorsion subgroup of the Selmer group

Ahmed Matar

Let $E$ be an elliptic curve defined over a number field $K$ with supersingular reduction at all primes of $K$ above $p$ . If $K_{\infty} / K$ is a $Z_{p}$ -extension such that…

math.NT2018

Kolyvagin's result on the vanishing of $\sha(E/K)[p^\infty]$ and its consequences for anticyclotomic Iwasawa theory

Ahmed Matar, Jan Nekovar

Let $E$ be an elliptic curve defined over $Q$ and $K$ an imaginary quadratic field satisfying the Heegner hypothesis. A classical result of Kolyvagin states that, under suita…

math.NT2017

On the Fine Selmer Group

Ahmed Matar

Let $E / Q$ be an elliptic curve, $p$ an odd prime and $K_{\infty} / K$ the anticyclotomic $Z_{p}$ -extension of a quadratic imaginary field $K$ . In a previous article t…