On Rubin's variant of the p-adic Birch and Swinnerton-Dyer conjecture

Abstract

We study Rubin's variant of the $p$-adic Birch and Swinnerton-Dyer conjecture for CM elliptic curves concerning certain special values of the Katz two-variable $p$-adic $L$-function that lie outside the range of $p$-adic interpolation.

arXiv commentFinal version. To appear in Compositio Mathematica