Surjectivity of the global-to-local map defining a Selmer group

DOI10.1215/0023608X-2010-016zbMath1230.11133MaRDI QIDQ624653

Ralph Greenberg

Publication date: 9 February 2011

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Iwasawa theorySelmer groupsAbelian varietyGalois cohomology groups

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) Iwasawa theory (11R23) Galois cohomology (11R34)

Related Items (15)

THE IWASAWA MAIN CONJECTURE FOR HILBERT MODULAR FORMS ⋮ On analogues of Mazur-Tate type conjectures in the Rankin-Selberg setting ⋮ Codimension two cycles in Iwasawa theory and tensor product of Hida families ⋮ Selmer groups of certain abelian varieties with complex multiplication ⋮ On free resolutions of Iwasawa modules ⋮ Height one specializations of Selmer groups ⋮ On the quantitative variation of congruence ideals and integral periods of modular forms ⋮ Comparing anticyclotomic Selmer groups of positive coranks for congruent modular forms. II ⋮ EULER CHARACTERISTIC OF Λ-ADIC FORMS OVER KUMMER EXTENSIONS ⋮ The cyclotomic Iwasawa main conjecture for Hilbert cusp forms with complex multiplication ⋮ Iwasawa theory for Artin representations. I ⋮ CODIMENSION TWO CYCLES IN IWASAWA THEORY AND ELLIPTIC CURVES WITH SUPERSINGULAR REDUCTION ⋮ Arithmetic statistics and noncommutative Iwasawa theory ⋮ \(\Lambda\)-submodules of finite index of anticyclotomic plus and minus Selmer groups of elliptic curves ⋮ On the Structure of Selmer Groups

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