On the Tamagawa number conjecture for Hecke characters
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...
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| Format: | article |
| Publication Date: | 2011 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:240650 |
| Online Access: | https://ddd.uab.cat/record/240650 https://dx.doi.org/urn:doi:10.1002/mana.200810051 |
| Access Level: | Open access |
| Keyword: | Tamagawa number conjecture Hecke characters Iwasawa theory of imaginary quadratic fields Regulators |
| Summary: | 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. |
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