l-Adic representations associated to modular forms over imaginary quadratic fields
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arXiv
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| Format: | Preprint |
| Published: |
2007
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| _version_ | 1866916480625410048 |
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| author | Berger, Tobias Harcos, Gergely |
| author_facet | Berger, Tobias Harcos, Gergely |
| contents | Let pi be a regular algebraic cuspidal automorphic representation of GL(2) over an imaginary quadratic number field K such that the central character of pi is invariant under the non-trivial automorphism of K. We show that pi is associated with an l-adic Galois representation rho over K such that at each prime of K outside an explicit finite set the Frobenius polynomial of rho agrees with the Hecke polynomial of pi. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0707_1338 |
| institution | arXiv |
| publishDate | 2007 |
| record_format | arxiv |
| spellingShingle | l-Adic representations associated to modular forms over imaginary quadratic fields Berger, Tobias Harcos, Gergely Number Theory Primary 11F80, Secondary 11F46, 11F70, 11R39 Let pi be a regular algebraic cuspidal automorphic representation of GL(2) over an imaginary quadratic number field K such that the central character of pi is invariant under the non-trivial automorphism of K. We show that pi is associated with an l-adic Galois representation rho over K such that at each prime of K outside an explicit finite set the Frobenius polynomial of rho agrees with the Hecke polynomial of pi. |
| title | l-Adic representations associated to modular forms over imaginary quadratic fields |
| topic | Number Theory Primary 11F80, Secondary 11F46, 11F70, 11R39 |
| url | https://arxiv.org/abs/0707.1338 |