The equivariant Tamagawa number conjecture and modular symbols

DOI10.1007/s00208-012-0837-6zbMath1288.11066OpenAlexW2006794958WikidataQ123018547 ScholiaQ123018547MaRDI QIDQ1952295

Werner Bley

Publication date: 30 May 2013

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-012-0837-6

zbMATH Keywords

\(L\)-functionmodular symbolequivariant Tamagawa number conjecture

Mathematics Subject Classification ID

(L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Class groups and Picard groups of orders (11R65)

Related Items

Congruences for critical values of higher derivatives of twisted Hasse–Weil L-functions, III ⋮ On Mordell-Weil groups and congruences between derivatives of twisted Hasse-Weil \(L\)-functions ⋮ Congruences for critical values of higher derivatives of twisted Hasse–Weil $L$-functions, II ⋮ Congruences for critical values of higher derivatives of twisted Hasse-Weil \(L\)-functions

Cites Work

• Refined conjectures of the ``Birch and Swinnerton-Dyer type
• Galois properties of points of finite order of elliptic curves
• Numerical evidence for the equivariant Birch and Swinnerton-Dyer conjecture (Part II)
• Vanishing and non-vanishing Dirichlet twists of L -functions of elliptic curves
• Numerical Evidence for the Equivariant Birch and Swinnerton-Dyer Conjecture
• Tamagawa numbers for motives with (non-commutative) coefficients
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