Let p≥ 5 be a prime number, E/Q an elliptic curve with good supersingular reduction at p
and K an imaginary quadratic field such that the root number of E over K is+ 1. When p is …

This article is a continuation of our previous work on the Iwasawa theory of an elliptic
modular form over an imaginary quadratic field, where the modular form in question was …

A result of Bleher, Chinburg, Greenberg, Kakde, Pappas, Sharifi and Taylor has initiated the
topic of higher codimension Iwasawa theory. As a generalization of the classical Iwasawa …

RANKS OF ELLIPTIC CURVES OVER Z2 p-EXTENSIONS Page 1 ISRAEL JOURNAL OF
MATHEMATICS 236 (2020), 183–206 DOI: 10.1007/s11856-020-1969-0 RANKS OF ELLIPTIC …

Let $ p $ be an odd prime and $ F_ {\infty} $ a $ p $-adic Lie extension of a number field $ F
$. Let $ A $ be an abelian variety over $ F $ which has ordinary reduction at every primes …

In 1987, B. Perrin-Riou formulated a Heegner point main conjecture for elliptic curves at
primes of ordinary reduction. In this paper, we formulate an analogue of Perrin-Riou's main …

This paper is concerned with the study of the fine Selmer group of an abelian variety over a-
extensions. We then carry out a similar study for the fine Selmer group of an elliptic modular …

Let p⩾ 5 be a prime number and E/Q an elliptic curve with good supersingular reduction at
p. Under the generalized Heegner hypothesis, we investigate the p-primary subgroups of …

Let $ p $ be an odd prime. We study Mazur's conjecture on the growth of the Mordell--Weil
ranks of an elliptic curve $ E/\mathbb {Q} $ over $\mathbb {Z} _p $-extensions of an …

Let K be an imaginary quadratic field where p splits. We study signed Selmer groups for
nonordinary modular forms over the anticyclotomic Zp-extension of K, showing that one …