A relation between p-adic L-functions and the Tamagawa number conjecture for Hecke characters
Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2004
Abstract:	We prove that the submodule in K-theory which gives the exact value (up to Z*(p)) of the L-function by the Beilinson regulator map at non-critical values for Hecke characters of imaginary quadratic fields K with cl(K) = 1(p-local Tamagawa number conjecture) satisfies that the length of its coimage under the local Soulé regulator map is the p-adic valuation of certain special values of p-adic L-functions associated to the Hecke characters. This result yields immediately, up to Jannsen's conjecture, an upper bound for #Het2 (Ok [1/S], Vp(m)) in terms of the valuation of these p-adic L-functions, where Vp denotes the p-adic realization of a Hecke motive.
Note:	Altres ajuts: DGI/BHA2000-0180
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Language:	Anglès
Document:	Article ; recerca ; Versió sotmesa a revisió
Published in:	Archiv der Mathematik, Vol. 83, Issue 4 (October 2004) , p. 317-327, ISSN 1420-8938

DOI: 10.1007/s00013-004-1148-2

Preprint 11 p, 368.0 KB

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