A relation between p-adic L-functions and the Tamagawa number conjecture for Hecke characters
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 u...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2004 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:240655 |
| Acceso en línea: | https://ddd.uab.cat/record/240655 https://dx.doi.org/urn:doi:10.1007/s00013-004-1148-2 |
| Access Level: | acceso abierto |
| Sumario: | 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. |
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