Johnson-Leung, Jennifer and Kings, Guido (2011) On the equivariant main conjecture for imaginary quadratic fields. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 653. pp. 75-114. ISSN 0075-4102,
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In this paper we first prove the main conjecture for imaginary quadratic fields for all prime numbers p, improving slightly earlier results by Rubin. From this we deduce the equivariant main conjecture in the case that a certain mu-invariant vanishes. For prime numbers p X 6 which split in K, we can prove the equivariant main conjecture using a theorem by Gillard.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | TAMAGAWA NUMBER CONJECTURE; IWASAWA THEORY; ABELIAN EXTENSIONS; MOTIVES; CURVES; MODULI; VALUES; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Guido Kings |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 22 Jun 2020 08:28 |
| Last Modified: | 22 Jun 2020 08:28 |
| URI: | https://pred.uni-regensburg.de/id/eprint/20984 |
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