Control theorem for Greenberg's Selmer groups of Galois deformations.

DOI10.1006/jnth.2000.2611zbMath1090.11034OpenAlexW1974073969MaRDI QIDQ5933395

Tadashi Ochiai

Publication date: 20 May 2001

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

Full work available at URL: https://semanticscholar.org/paper/2c9bb0c68a911292a43e282e426c2c26a0e92b1c

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) (p)-adic theory, local fields (11F85) Galois representations (11F80) Iwasawa theory (11R23)

Related Items (10)

Finite \(\Lambda\)-submodules of Selmer groups of Abelian varieties over cyclotomic \(\mathbb Z_p\)-extensions. ⋮ Control theorems for Selmer groups of nearly ordinary deformations ⋮ On analogues of Mazur-Tate type conjectures in the Rankin-Selberg setting ⋮ Algebraic functional equation for Hida family ⋮ On Siegel eigenvarieties at Saito-Kurokawa points ⋮ Anticyclotomic main conjecture and the non-triviality of Rankin-Selberg \(L\)-values in Hida families ⋮ On certain 𝐿-functions for deformations of knot group representations ⋮ Control theorem and functional equation of Selmer groups over \(p\)-adic Lie extensions ⋮ \(p\)-adic properties of motivic fundamental lines ⋮ Euler system for Galois deformations.

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