On the Tamagawa number conjecture for CM elliptic curves defined over ℚ

Francesc Bars

doi:10.1016/S0022-314X(02)92776-9

On the Tamagawa number conjecture for CM elliptic curves defined over ℚ

Francesc Bars

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

2 Citations (Scopus)

Abstract

In this paper we prove, under the assumption that the Soulé regulator map is injective, that, for all integers k≥0, the description by the local Tamagawa number conjecture for CM elliptic curves defined over ℚ, corresponding to the values of their L-functions at k + 2, is true. © 2002 Elsevier Science (USA).

Original language	English
Pages (from-to)	190-208
Journal	Journal of Number Theory
Volume	95
Issue number	2
DOIs	https://doi.org/10.1016/S0022-314X(02)92776-9
Publication status	Published - 1 Jan 2002

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abstract = "In this paper we prove, under the assumption that the Soul{\'e} regulator map is injective, that, for all integers k≥0, the description by the local Tamagawa number conjecture for CM elliptic curves defined over ℚ, corresponding to the values of their L-functions at k + 2, is true. {\textcopyright} 2002 Elsevier Science (USA).",

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AB - In this paper we prove, under the assumption that the Soulé regulator map is injective, that, for all integers k≥0, the description by the local Tamagawa number conjecture for CM elliptic curves defined over ℚ, corresponding to the values of their L-functions at k + 2, is true. © 2002 Elsevier Science (USA).

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