A remark on the 𝔐H(G)-conjecture and Akashi series

DOI10.1142/S1793042115500165zbMath1319.11073arXiv1309.4174WikidataQ123276314 ScholiaQ123276314MaRDI QIDQ2941083

Meng Fai Lim

Publication date: 21 January 2015

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

Full work available at URL: https://arxiv.org/abs/1309.4174

zbMATH Keywords

Selmer groupsAkashi series\(\mathfrak M_H (G)\)-conjectureadmissible \(p\)-adic Lie extension

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Galois representations (11F80) Iwasawa theory (11R23) Galois cohomology (11R34)

Related Items (13)

Asymptotic growth of Mordell–Weil ranks of elliptic curves in noncommutative towers ⋮ On the weak Leopoldt conjecture and coranks of Selmer groups of supersingular abelian varieties in \(p\)-adic Lie extensions ⋮ On the complete faithfulness of the $p$-free quotient modules of dual Selmer groups ⋮ $\mathfrak{M}_H(G)$-property and congruence of Galois representations ⋮ On order of vanishing of characteristic elements ⋮ Fine Selmer groups of congruent p-adic Galois representations ⋮ Fine Selmer groups of congruent Galois representations ⋮ Akashi series, characteristic elements and congruence of Galois representations ⋮ Some remarks on Kida's formula when \(\mu\neq 0\) ⋮ 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 the signed Selmer groups of congruent elliptic curves with semistable reduction at all primes above $p$ ⋮ On completely faithful Selmer groups of elliptic curves and Hida deformations

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