On the \(\mu\)-invariant of fine Selmer groups

DOI10.1016/j.jnt.2013.08.003zbMath1385.11067OpenAlexW2033925668MaRDI QIDQ2406716

Chandrakant Aribam

Publication date: 5 October 2017

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2013.08.003

zbMATH Keywords

modular formsSelmer groupsGalois representationsHida theory\(p\)-adic \(L\)-functionsfine Selmer groups

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) (p)-adic theory, local fields (11F85) Galois representations (11F80) Iwasawa theory (11R23)

Related Items

The growth of fine Selmer groups ⋮ ON FINE SELMER GROUPS AND SIGNED SELMER GROUPS OF ELLIPTIC MODULAR FORMS ⋮ Control theorems for fine Selmer groups ⋮ Structure of fine Selmer groups in abelian \(p\)-adic Lie extensions ⋮ The vanishing of Iwasawa's \(\mu\)-invariant implies the weak Leopoldt conjecture ⋮ Growth of Fine Selmer Groups in Infinite Towers ⋮ Fine Selmer groups of congruent Galois representations ⋮ Anticyclotomic \(\mu \)-invariants of residually reducible Galois representations ⋮ Fine Selmer Groups and Isogeny Invariance ⋮ Control theorems for fine Selmer groups, and duality of fine Selmer groups attached to modular forms

Uses Software

• SageMath

Cites Work

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