37 citations · 45 across the 9 of their papers we have counts for
9 papers
On anticyclotomic variants of the -adic Birch and Swinnerton-Dyer conjecture
Adebisi Agboola, Francesc Castella
We formulate analogues of the Birch and Swinnerton-Dyer conjecture for the -adic -functions of Bertolini-Darmon-Prasanna attached to elliptic curves at primes…
On the relative Galois module structure of rings of integers in tame extensions
A. Agboola, L. R. McCulloh
Let be a number field with ring of integers and let be a finite group. We describe an approach to the study of the set of realisable classes in the locally free class…
On Rubin's variant of the p-adic Birch and Swinnerton-Dyer conjecture II
Adebisi Agboola
Let E be an elliptic curve over Q with complex multiplication by the ring of integers of an imaginary quadratic field K. In 1991, by studying a certain special value of the Katz tw…
On counting rings of integers as Galois modules
A. Agboola
Let be a number field and a finite abelian group. We study the asymptotic behaviour of the number of tamely ramified -extensions of with ring of integers of fixed re…
On Rubin's variant of the p-adic Birch and Swinnerton-Dyer conjecture
A. Agboola
We study Rubin's variant of the -adic Birch and Swinnerton-Dyer conjecture for CM elliptic curves concerning certain special values of the Katz two-variable -adic -functio…
Galois modules and p-adic representations
A. Agboola
In this paper we develop a theory of class invariants associated to -adic representations of absolute Galois groups of number fields. Our main tool for doing this involves a new…
On twisted forms and relative algebraic K-theory
A. Agboola, D. Burns
This paper introduces a new approach to the study of certain aspects of Galois module theory by combining ideas arising from the study of the Galois structure of torsors of finite…
Anticyclotomic Iwasawa theory of CM elliptic curves II
Adebisi Agboola, Benjamin Howard
We study the Iwasawa theory of a CM elliptic curve in the anticyclotomic -extension of the CM field , where is a prime of good, supersingular re…
Anticyclotomic Iwasawa theory of CM elliptic curves
Adebisi Agboola, Benjamin Howard
We study the Iwasawa theory of a CM elliptic curve in the anticyclotomic -extension of the CM field, where is a prime of good, ordinary reduction for . Whe…