Wild Euler systems of elliptic units and the Equivariant Tamagawa Number Conjecture

Verfasser / Beitragende:
[W. Bley]
Ort, Verlag, Jahr:
2004
Enthalten in:
Journal für die reine und angewandte Mathematik (Crelles Journal), 2004/577(2004-11-30), 117-146
Format:
Artikel (online)
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024 7 0 |a 10.1515/crll.2004.2004.577.117  |2 doi 
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100 1 |a Bley  |D W.  |u 1. Augsburg. 
245 1 0 |a Wild Euler systems of elliptic units and the Equivariant Tamagawa Number Conjecture  |h [Elektronische Daten]  |c [W. Bley] 
520 3 |a Let N/K be a finite abelian extension of a quadratic imaginary number field K. Let p denote a prime ideal in K of residue characteristic p such that p splits in K/ℚ and p splits completely in N/K. In analogy to a result of Solomon in the cyclotomic case we construct an elliptic p-unit in N and express its valuation in terms of a p-adic logarithm. As an application we prove the Equivariant Tamagawa Number Conjecture formulated by Burns and Flach for the pair (h 0(Spec(N)), ℤ[Gal(N/K)]) for a natural family of genus extensions N/K. 
540 |a © Walter de Gruyter 
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