Abstract
In this paper, we prove the weak p-part of the Tamagawa number conjecture in all non-critical cases for the motives associated to Hecke characters of the form φa φ̄b where φ is the Hecke character of a CM elliptic curve E defined over an imaginary quadratic field K, under certain restrictions which originate mainly from the Iwasawa theory of imaginary quadratic fields. © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
Original language | English |
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Pages (from-to) | 608-628 |
Journal | Mathematische Nachrichten |
Volume | 284 |
Issue number | 5-6 |
DOIs | |
Publication status | Published - 1 Apr 2011 |
Keywords
- Hecke characters
- Iwasawa theory of imaginary quadratic fields
- Regulators
- Tamagawa number conjecture