On the Tamagawa number conjecture for CM elliptic curves defined over \({\mathbb Q}\)

DOI10.1006/jnth.2002.2776zbMath1081.11045OpenAlexW4213313115WikidataQ123238384 ScholiaQ123238384MaRDI QIDQ701106

Francesc Bars Cortina

Publication date: 16 October 2002

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2002.2776

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Complex multiplication and moduli of abelian varieties (11G15) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (1)

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

Cites Work

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• p-adic K-theory of elliptic curves
• Higher regulators and values of \(L\)-functions
• Iwasawa theory and \(p\)-adic Hodge theory
• Higher regulators and Hecke \(L\)-series of imaginary quadratic fields. I
• Higher regulators and Hecke \(L\)-series of imaginary quadratic fields. II
• Étale $K$-theory. II. Connections with algebraic $K$-theory
• On the Étale K-Theory of an Elliptic Curve with Complex Multiplication for Regular Primes
• Root Numbers of Hecke L-Functions of CM Fields
• The Tamagawa number conjecture for CM elliptic curves

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