We give a new formulation in Iwasawa theory for elliptic curves at good supersingular
primes. This formulation is similar to Mazur's at good ordinary primes. Namely, we define a …

TEXT: We extend Kobayashiʼs formulation of Iwasawa theory for elliptic curves at
supersingular primes to include the case ap≠ 0, where ap is the trace of Frobenius. To do …

In this paper, we make a study of the Iwasawa theory of an elliptic curve at a supersingular
prime p along an arbitrary ℤp-extension of a number field K in the case when p splits …

The topics that we will discuss have their origin in Mazur's synthesis of the theory of elliptic
curves and Iwasawa's theory of Zlp-extensions in the early 1970s. We first recall some …

In this paper, we study the behavior of the Selmer groups of elliptic curves in a p-extension
of the cyclotomic ℤ p-extension of a number field. In particular, we describe the change of …

We apply thé methods of thé theory of S-extensions of Iwasawa to study thé arithmetic of
elliptic curves with complex multiplication. We link thé characteristic power séries of thé …

The aim of this paper is to discuss variants for elliptic curves of some deep conjectures of
classical cyclotomic Iwasawa theory. Let F be a finite extension of Q, p an odd prime …

Let p be a prime number and let E be an elliptic curve defined over ℚ of conductor N. Let K
be an imaginary quadratic field with discriminant prime to pN such that all prime factors of N …

Let p be an odd prime. Suppose that E is a modular elliptic curve/Q with good ordinary
reduction at p. Let Q_ {oo} denote the cyclotomic Z_p-extension of Q. It is conjectured that …

Let G be a compact p-adic Lie group, with no element of order p, and having a closed
normal subgroup H such that G/H is isomorphic to Z p. We prove the existence of a …