The Bloch-Kato conjecture on special values of \(L\)-functions. A survey of known results.

DOI10.5802/jtnb.396zbMath1050.11063OpenAlexW2138231835WikidataQ123291261 ScholiaQ123291261MaRDI QIDQ1424579

Guido Kings

Publication date: 16 March 2004

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2003__15_1_179_0

zbMATH Keywords

survey\(L\)-functionsBloch-Kato conjecturemotives

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23)

Related Items (3)

VALUES OF ZETA FUNCTIONS OF ARITHMETIC SURFACES AT ⋮ Étale cohomology of arithmetic schemes and zeta values of arithmetic surfaces ⋮ Congruences among modular forms on \(\text{U}(2,2)\) and the Bloch-Kato conjecture

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• Euler Systems
• The Tamagawa number conjecture for CM elliptic curves
• Formules de classes pour les corps abéliens réels. (Class formulae for real Abelian fields)
• Tamagawa numbers for motives with (non-commutative) coefficients

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