Fine Selmer group of Hida deformations over non-commutative \(p\)-adic Lie extensions

DOI10.4310/AJM.2012.V16.N2.A9zbMath1253.11099WikidataQ115206174 ScholiaQ115206174MaRDI QIDQ436041

Somnath Jha

Publication date: 28 July 2012

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

Full work available at URL: https://projecteuclid.org/euclid.ajm/1333976889

zbMATH Keywords

Hida theorynon-commutative Iwasawa theorySelmer groupp-adic Galois representation

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Congruences for modular and (p)-adic modular forms (11F33) Galois representations (11F80) Iwasawa theory (11R23)

Related Items (12)

On the pseudo-nullity of the dual fine Selmer groups ⋮ $\mathfrak{M}_H(G)$-property and congruence of Galois representations ⋮ Algebraic functional equation for Hida family ⋮ Fine Selmer groups of congruent p-adic Galois representations ⋮ Control theorems for fine Selmer groups ⋮ Structure of fine Selmer groups in abelian \(p\)-adic Lie extensions ⋮ Structure of fine Selmer groups over -extensions ⋮ The vanishing of Iwasawa's \(\mu\)-invariant implies the weak Leopoldt conjecture ⋮ Fine Selmer groups of congruent Galois representations ⋮ Variation of the algebraic λ-invariant over a solvable extension ⋮ Fine Selmer Groups and Isogeny Invariance ⋮ On completely faithful Selmer groups of elliptic curves and Hida deformations

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