On the Iwasawa theory of CM elliptic curves at supersingular primes

Gary McConnell

Displaying similar documents to “On the Iwasawa theory of CM elliptic curves at supersingular primes”

Selmer groups and Heegner points in anticyclotomic $ℤ_{p}$ -extensions

Massimo Bertolini (1995)

Compositio Mathematica

Similarity:

Elliptic curves and special values of L-series.

Massimo Bertolini (1997)

Collectanea Mathematica

Similarity:

$p$ -adic representations arising from descent on abelian varieties

Michael Harris (1979)

Compositio Mathematica

Similarity:

Iwasawa theory for elliptic curves over imaginary quadratic fields

Massimo Bertolini (2001)

Journal de théorie des nombres de Bordeaux

Similarity:

Let $E$ be an elliptic curve over $ℚ$ , let $K$ be an imaginary quadratic field, and let $K_{\infty}$ be a $ℤ_{p}$ -extension of $K$ . Given a set $Σ$ of primes of $K$ , containing the primes above $p$ , and the primes of bad reduction for $E$ , write $K_{Σ}$ for the maximal algebraic extension of $K$ which is unramified outside $Σ$ . This paper is devoted to the study of the structure of the cohomology groups $H^{i} (K_{Σ} / K_{\infty}, E_{p^{\infty}})$ for $i = 1, 2,$ and of the $p$ -primary Selmer group Sel $_{p^{\infty}} (E / K_{\infty})$ , viewed as discrete modules over the Iwasawa algebra of $K_{\infty} / K .$ ...