Galois cohomology of elliptic curves

zbMath1213.11115MaRDI QIDQ5894080

R. Sujatha, John H. Coates

Publication date: 28 January 2011

Published in: Lectures on Mathematics and Physics. Mathematics. Tata Institute of Fundamental Research (Search for Journal in Brave)

zbMATH Keywords

dualityIwasawa theorySelmer groupsElliptic curves

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Research exposition (monographs, survey articles) pertaining to number theory (11-02) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23) Elliptic curves over local fields (11G07) Galois cohomology (11R34)

Related Items (14)

SELMER GROUPS OF ELLIPTIC CURVES OVER THE EXTENSION ⋮ Residual supersingular Iwasawa theory and signed Iwasawa invariants ⋮ REMARKS ON HILBERT’S TENTH PROBLEM AND THE IWASAWA THEORY OF ELLIPTIC CURVES ⋮ Structure of fine Selmer groups over -extensions ⋮ On the control theorem for fine Selmer groups and the growth of fine Tate-Shafarevich groups in \(\mathbb{Z}_p\)-extensions ⋮ On Selmer groups in the supersingular reduction case ⋮ On Selmer groups of abelian varieties over \(\ell\)-adic Lie extensions of global function fields ⋮ Signed Selmer groups over \(p\)-adic Lie extensions ⋮ Remarks on Kato's Euler systems for elliptic curves with additive reduction ⋮ ON THE EULER CHARACTERISTICS OF SIGNED SELMER GROUPS ⋮ Conjecture a and \(\mu\)-invariant for Selmer groups of supersingular elliptic curves ⋮ Arithmetic statistics and noncommutative Iwasawa theory ⋮ Bounding the Iwasawa invariants of Selmer groups ⋮ Control theorems for fine Selmer groups, and duality of fine Selmer groups attached to modular forms

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