The structure of Selmer groups

DOI10.1073/pnas.94.21.11125zbMath0918.11058OpenAlexW2052391292WikidataQ36256663 ScholiaQ36256663MaRDI QIDQ4372151

Ralph Greenberg

Publication date: 6 June 1999

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.94.21.11125

zbMATH Keywords

Selmer groupsstructure of Galois cohomology groups

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Iwasawa theory (11R23) Galois cohomology (11R34)

Related Items (5)

Surjectivity of the global-to-local map defining a Selmer group ⋮ A note on Selmer groups of abelian varieties over the trivializing extensions ⋮ Euler characteristics and elliptic curves ⋮ Conjecture a and \(\mu\)-invariant for Selmer groups of supersingular elliptic curves ⋮ Fine Selmer Groups and Isogeny Invariance

Cites Work

• On the main conjecture of Iwasawa theory for imaginary quadratic fields
• On the structure of certain Galois groups
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• Kummer theory for abelian varieties over local fields
• Rational points of Abelian varieties with values in towers of number fields
• Iwasawa Theory of Modular Elliptic Curves of Analytic Rank at most 1

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