The Tamagawa number conjecture for CM elliptic curves

DOI10.1007/s002220000115zbMath1159.11311arXivmath/0003113OpenAlexW3100436740WikidataQ123195094 ScholiaQ123195094MaRDI QIDQ5929682

Guido Kings

Publication date: 9 February 2004

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0003113

zbMATH Keywords

elliptic curves\(L\)-functions of varieties over global fields\(p\)-adic cohomologyalgebraic \(K\)-theoryBloch-Kato conjecturecomplex multiplicationpolylogarithms

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Complex multiplication and moduli of abelian varieties (11G15) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Polylogarithms and relations with (K)-theory (11G55) (p)-adic cohomology, crystalline cohomology (14F30)

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