Geodesic
On the equivariant Tamagawa number conjecture for Abelian extensions of a quadratic imaginary field
Documenta mathematica, Tome 11 (2006), pp. 73-118
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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 (h0(Spec(L)),Z[Gal(L/K)]).
DOI : 10.4171/dm/205
Classification : 11G40, 11R23, 11R33, 11R65
Mots-clés : Iwasawa theory, L-functions, Euler systems 
@article{10_4171_dm_205,
     author = {W. Bley},
     title = {On the equivariant {Tamagawa} number conjecture for {Abelian} extensions of a quadratic imaginary field},
     journal = {Documenta mathematica},
     pages = {73--118},
     year = {2006},
     volume = {11},
     doi = {10.4171/dm/205},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/205/}
}
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W. Bley. On the equivariant Tamagawa number conjecture for Abelian extensions of a quadratic imaginary field. Documenta mathematica, Tome 11 (2006), pp. 73-118. doi: 10.4171/dm/205

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