Weak Leopoldt's conjecture for Hecke characters of imaginary quadratic fields
We give a proof of the weak Leopoldt's conjecture à la Perrin-Riou, under some technical condition, for the p-adic realizations of the motive associated to Hecke characters over an imaginary quadratic field K of class number 1, where p is a prime > 3 and where the CM elliptic curve associate...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2008 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:240657 |
| Acceso en línea: | https://ddd.uab.cat/record/240657 https://dx.doi.org/urn:doi:10.1016/j.jalgebra.2007.11.001 |
| Access Level: | acceso abierto |
| Palabra clave: | Hecke characters of imaginary quadratic fields Weak Leopoldt's conjecture |
| Sumario: | We give a proof of the weak Leopoldt's conjecture à la Perrin-Riou, under some technical condition, for the p-adic realizations of the motive associated to Hecke characters over an imaginary quadratic field K of class number 1, where p is a prime > 3 and where the CM elliptic curve associated to the Hecke character has good reduction at the primes above p in K. This proof makes use of the 2-variable Iwasawa main conjecture proved by Rubin. Thus we prove the Jannsen conjecture for the above p-adic realizations for almost all Tate twists. |
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