Notes on non-commutative Iwasawa theory

DOI10.4310/AJM.2010.v14.n1.a2zbMath1214.11123MaRDI QIDQ609470

Yoshitaka Hachimori, Tadashi Ochiai

Publication date: 1 December 2010

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ajm/1286547516

zbMATH Keywords

elliptic curvesSelmer groupsIwasawa algebra

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Elliptic curves over global fields (11G05) Iwasawa theory (11R23)

Related Items (11)

SELMER GROUPS OF ELLIPTIC CURVES OVER THE EXTENSION ⋮ On the complete faithfulness of the $p$-free quotient modules of dual Selmer groups ⋮ $\mathfrak{M}_H(G)$-property and congruence of Galois representations ⋮ A remark on the 𝔐_H(G)-conjecture and Akashi series ⋮ A generalization of a theorem of Imai and its applications to Iwasawa theory ⋮ Unnamed Item ⋮ On Selmer groups of abelian varieties over \(\ell\)-adic Lie extensions of global function fields ⋮ THE GROWTH OF THE SELMER GROUP OF AN ELLIPTIC CURVE WITH SPLIT MULTIPLICATIVE REDUCTION ⋮ Akashi series and Euler characteristics of signed Selmer groups of elliptic curves with semistable reduction at primes above \(p\) ⋮ Arithmetic statistics and noncommutative Iwasawa theory ⋮ On completely faithful Selmer groups of elliptic curves and Hida deformations

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