Weak Leopoldt's conjecture for Hecke characters of imaginary quadratic fields

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Abstract

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. © 2007 Elsevier Inc. All rights reserved.
Original languageEnglish
Pages (from-to)1954-1970
JournalJournal of Algebra
Volume319
Issue number5
DOIs
Publication statusPublished - 1 Mar 2008

Keywords

  • Hecke characters of imaginary quadratic fields
  • Weak Leopoldt's conjecture

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