Ahmed Matar

activity

20142026

most citedSelmer groups and anticyclotomic

Z_{p}

-extensions

2 citations · 2 across the 7 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

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…