On the failure of pseudo-nullity of Iwasawa modules

DOI10.1090/S1056-3911-05-00396-6zbMath1085.11054arXivmath/0406366OpenAlexW2040155719MaRDI QIDQ5316109

Yoshitaka Hachimori, Romyar T. Sharifi

Publication date: 12 September 2005

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406366

zbMATH Keywords

Iwasawa algebraIwasawa modulesCM-fieldscyclotomic \({\mathbb Z}_ p\)--extensionspseudo--null modules.

Mathematics Subject Classification ID

Iwasawa theory (11R23)

Related Items (20)

On the pseudo-nullity of the dual fine Selmer groups ⋮ Analogue of Kida's formula for certain strongly admissible extensions ⋮ On the growth of even \(K\)-groups of rings of integers in \(p\)-adic Lie extensions ⋮ On the cohomology of Kobayashi’s plus/minus norm groups and applications ⋮ Iwasawa theory and the Eisenstein ideal ⋮ A remark on the 𝔐_H(G)-conjecture and Akashi series ⋮ Reciprocity maps with restricted ramification ⋮ Pseudo-null Iwasawa modules for \(\mathbb Z_2^2\)-extensions ⋮ Iwasawa Theory, projective modules, and modular representations ⋮ On Galois groups of unramified pro-\(p\) extensions ⋮ On 2-adic Lie iterated extensions of number fields arising from a Joukowski map ⋮ Fine Selmer groups of congruent Galois representations ⋮ Iwasawa theory of totally real fields for certain non-commutative \(p\)-extensions ⋮ Fine Selmer groups of elliptic curves over \(p\)-adic Lie extensions ⋮ A note on asymptotic class number ppper bounds in \(p\)-adic Lie extensions ⋮ Some remarks on Kida's formula when \(\mu\neq 0\) ⋮ On the Iwasawa asymptotic class number formula for $\mathbb {Z}_{p}^r\rtimes \mathbb {Z}_{p}$-extensions ⋮ SELF-POINTS ON ELLIPTIC CURVES OF PRIME CONDUCTOR ⋮ Algebraic functional equations and completely faithful Selmer groups ⋮ On completely faithful Selmer groups of elliptic curves and Hida deformations

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• SOME DUALITY THEOREMS FOR CYCLOTOMIC $ \Gamma$-EXTENSIONS OF ALGEBRAIC NUMBER FIELDS OF $ CM$ TYPE
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