Akashi series, characteristic elements and congruence of Galois representations

DOI10.1142/S179304211650038XzbMath1341.11062arXiv1502.03166MaRDI QIDQ2800144

Meng Fai Lim

Publication date: 15 April 2016

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

Full work available at URL: https://arxiv.org/abs/1502.03166

zbMATH Keywords

Selmer groupsEuler characteristics\(p\)-adic Lie extensionsAkashi seriescharacteristic elements

Mathematics Subject Classification ID

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

Related Items (1)

$\mathfrak{M}_H(G)$-property and congruence of Galois representations

Cites Work

• On the structure of Selmer groups of lambda-adic deformations over \(p\)-adic Lie extensions
• Iwasawa theory and modular forms
• Links between cyclotomic and \(\text{GL}_2\) Iwasawa theory
• On the structure theory of the Iwasawa algebra of a \(p\)-adic Lie group.
• The \(\text{GL}_2\) main conjecture for elliptic curves without complex multiplication
• On the M_H(G)-conjecture
• A remark on the 𝔐_H(G)-conjecture and Akashi series
• Computations in non-commutative Iwasawa theory
• A remark on the rational points of abelian varieties with values in cyclotomic $Z_p$-extensions
• EULER CHARACTERISTIC OF Λ-ADIC FORMS OVER KUMMER EXTENSIONS
• A note on Selmer groups of abelian varieties over the trivializing extensions
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