13 citations · 16 across the 4 of their papers we have counts for
4 papers · 1 filter
The main conjecture for CM elliptic curves at supersingular primes
Robert Pollack, Karl Rubin
At a prime of ordinary reduction, the Iwasawa ``main conjecture'' for elliptic curves relates a Selmer group to a -adic -function. In the supersingular case, the statement of…
Kida's formula and congruences
Robert Pollack, Tom Weston
We prove a formula (analogous to that of Kida in classical Iwasawa theory and generalizing that of Hachimori-Matsuno for elliptic curves) giving the analytic and algebraic p-adic I…
Iwasawa theory for elliptic curves at supersingular primes over Z_p-extensions of number fields
Adrian Iovita, Robert Pollack
In this paper, we make a study of the Iwasawa theory of an elliptic curve at a supersingular prime p along an arbitrary Z_p-extension of a number field K in the case when p splits…
An algebraic version of a theorem of Kurihara
Robert Pollack
Let E/Q be an elliptic curve and let p be an odd supersingular prime for E. In this article, we study the simplest case of Iwasawa theory for elliptic curves, namely when E(Q) is f…