Finite \(\Lambda\)-submodules of Selmer groups of Abelian varieties over cyclotomic \(\mathbb Z_p\)-extensions.

DOI10.1016/S0022-314X(02)00078-1zbMath1045.11042MaRDI QIDQ1874332

Kazuo Matsuno

Publication date: 25 May 2003

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Iwasawa theorySelmer groups

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Iwasawa theory (11R23)

Related Items

On the complete faithfulness of the $p$-free quotient modules of dual Selmer groups ⋮ Estimating the growth in Mordell-Weil ranks and Shafarevich-Tate groups over Lie extensions ⋮ A remark on the 𝔐_H(G)-conjecture and Akashi series ⋮ Some remarks on the two-variable Main Conjecture of Iwasawa theory for elliptic curves without complex multiplication ⋮ A note on Selmer groups of abelian varieties over the trivializing extensions ⋮ Root numbers, Selmer groups, and non-commutative Iwasawa theory ⋮ On the plus and the minus Selmer groups for elliptic curves at supersingular primes ⋮ Computational verification of the Birch and Swinnerton-Dyer conjecture for individual elliptic curves ⋮ ON THE 2-ADIC IWASAWA INVARIANTS OF ORDINARY ELLIPTIC CURVES ⋮ Computations in non-commutative Iwasawa theory ⋮ Algebraic functional equations and completely faithful Selmer groups ⋮ On completely faithful Selmer groups of elliptic curves and Hida deformations ⋮ Elliptic curves with exceptionally large analytic order of the Tate–Shafarevich groups ⋮ Transition formulae for ranks of abelian varieties

Uses Software

• UBASIC
• ecdata

Cites Work

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