On Jannsen's conjecture for Hecke characters of imaginary quadratic fields
| dc.creator | Bars, Francesc | |
| dc.date | 2007-03-29 | |
| dc.date.accessioned | 2026-07-07T07:55:03Z | |
| dc.date.available | 2026-07-07T07:55:03Z | |
| dc.description | We present a collection of results on a conjecture of Jannsen about the $p$-adic realizations associated to Hecke characters over an imaginary quadratic field $K$ of class number 1. The conjecture is easy to check for Galois groups purely of local type. We prove the conjecture under a geometric regularity condition for the imaginary quadratic field $K$ at $p$, which is related to the property that a global Galois group is purely of local type. Without this regularity assumption at $p$, we present a review of the known situations in the critical case and in the non-critical case for the realizations associated to Hecke characters over $K$. We relate the conjecture to the non-vanishing of some concrete non-critical values of the associated $p$-adic $L$-function of the Hecke character. Finally, we prove that the conjecture follows from a general conjecture on Iwasawa theory for almost all Tate twists. | |
| dc.description | To appear in Proceedings of the Primeras Jornadas de Teoria de Numeros | |
| dc.identifier | https://arxiv.org/abs/math/0703882 | |
| dc.identifier | http://arxiv.org/abs/math/0703882 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126841 | |
| dc.subject | Number Theory | |
| dc.subject | 11G35 (11R34, 14F20, 19F27, 11R23) | |
| dc.title | On Jannsen's conjecture for Hecke characters of imaginary quadratic fields | |
| dc.type | text |