Control theorem for Bloch-Kato's Selmer groups of \(p\)-adic representations

DOI10.1006/jnth.1999.2483zbMath0989.11029OpenAlexW1991794491MaRDI QIDQ1587657

Tadashi Ochiai

Publication date: 24 July 2002

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

Full work available at URL: https://doi.org/10.1006/jnth.1999.2483

zbMATH Keywords

elliptic curvesIwasawa theorySelmer groupsGalois representationsmotives\(p\)-adic representation

Mathematics Subject Classification ID

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

Related Items (11)

Control theorems for Selmer groups of nearly ordinary deformations ⋮ On analogues of Mazur-Tate type conjectures in the Rankin-Selberg setting ⋮ A control theorem for the torsion Selmer pointed set ⋮ Anticyclotomic main conjecture and the non-triviality of Rankin-Selberg \(L\)-values in Hida families ⋮ Elementary module associated to Selmer group of Artin representation ⋮ Control theorem and functional equation of Selmer groups over \(p\)-adic Lie extensions ⋮ On Bloch-Kato Selmer groups and Iwasawa theory of \(p\)-adic Galois representations ⋮ Kolyvagin systems and Iwasawa theory of generalized Heegner cycles ⋮ \(p^r\)-Selmer companion modular forms ⋮ Modularity of residual Galois extensions and the Eisenstein ideal ⋮ Iwasawa theory for symmetric powers of CM modular forms at non-ordinary primes

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