On the equivariant Tamagawa number conjecture for Abelian extensions of a quadratic imaginary field

By Werner Bley. Documenta Mathematica, 2006

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Let k be a quadratic imaginary field, p a prime which splits in k/Q and does not divide the class number hk of k. Let L denote a finite abelian extension of k and let K be a subextension of L/k. In this article we prove the p-part of the Equivariant Tamagawa Number Conjecture for the pair (h 0 (Spec(L)), Z(Gal(L/K))).

Subfields: Applied Mathematics, Geometry and Topology

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