HIGHER ORDER CONGRUENCES AMONGST HASSE–WEIL -VALUES

DOI10.1017/S1446788714000445zbMath1348.11084MaRDI QIDQ5175136

Daniel Delbourgo, Lloyd Christopher Peters

Publication date: 20 February 2015

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

elliptic curves\(L\)-functionsIwasawa theory\(K\)-theory

Mathematics Subject Classification ID

(L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23) (K_1) of group rings and orders (19B28)

Related Items (3)

Estimating the growth in Mordell-Weil ranks and Shafarevich-Tate groups over Lie extensions ⋮ \({K}_{1}\)-congruences for three-dimensional Lie groups ⋮ Variation of the algebraic λ-invariant over a solvable extension

Cites Work

• The main conjecture of Iwasawa theory for totally real fields
• Non-abelian congruences between \(L\)-values of elliptic curves
• Iwasawa theory of totally real fields for certain non-commutative \(p\)-extensions
• The \(\text{GL}_2\) main conjecture for elliptic curves without complex multiplication
• Toward equivariant Iwasawa theory. III
• \(K_1\) of some non-commutative completed group rings
• Special values of L -functions and false Tate curve extensions
• On descent theory and main conjectures in non-commutative Iwasawa theory
• Computations in non-commutative Iwasawa theory
• Algebraicity of L-values for elliptic curves in a false Tate curve tower
• The Growth of CM Periods over False Tate Extensions

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