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On the Equivariant Tamagawa number conjecture for Tate motives

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Abstract

Let L be a finite abelian extension of ℚ and let K be any subfield of L. For each integer r with r≤0 we prove the Equivariant Tamagawa Number Conjecture for the pair (h 0(Spec(L))(r),ℤ[½][Gal(L/K)]).

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Authors and Affiliations

  1. Department of Mathematics, King’s College London, WC2R 2LS, London, ??

    D. Burns

  2. Fakultät für Informatik, Universität der Bundeswehr München, D-85577, Neubiberg, Germany

    C. Greither

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  1. D. Burns
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  2. C. Greither
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Correspondence to D. Burns or C. Greither.

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Mathematics Subject Classification (1991)

11G40, 11R23, 11R33, 11R65

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Burns, D., Greither, C. On the Equivariant Tamagawa number conjecture for Tate motives. Invent. math. 153, 303–359 (2003). https://doi.org/10.1007/s00222-003-0291-x

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